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Finding the Third Proportional to 192,530.25 and 410,001.75

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Solution

The third proportional to 192,530.25 and 410,001.75 is: 873,117.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,530.25 : 410,001.75 = 410,001.75 : x
  2. Step 2: Convert to fraction form
    192,530.25/410,001.75 = 410,001.75/x
  3. Step 3: Cross multiply
    192,530.25x = 410,001.75 × 410,001.75
  4. Step 4: Simplify right side
    192,530.25x = 168,101,435,003.06
  5. Step 5: Solve for x
    x = 168,101,435,003.06/192,530.25
  6. Step 6: Final answer
    x = 873,117.00

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.