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Finding the Third Proportional to 192,117.75 and 417,459

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Solution

The third proportional to 192,117.75 and 417,459 is: 907,110.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,117.75 : 417,459 = 417,459 : x
  2. Step 2: Convert to fraction form
    192,117.75/417,459 = 417,459/x
  3. Step 3: Cross multiply
    192,117.75x = 417,459 × 417,459
  4. Step 4: Simplify right side
    192,117.75x = 174,272,016,681
  5. Step 5: Solve for x
    x = 174,272,016,681/192,117.75
  6. Step 6: Final answer
    x = 907,110.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.