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Finding the Third Proportional to 181,913.75 and 382,677.75

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Solution

The third proportional to 181,913.75 and 382,677.75 is: 805,009.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,913.75 : 382,677.75 = 382,677.75 : x
  2. Step 2: Convert to fraction form
    181,913.75/382,677.75 = 382,677.75/x
  3. Step 3: Cross multiply
    181,913.75x = 382,677.75 × 382,677.75
  4. Step 4: Simplify right side
    181,913.75x = 146,442,260,345.06
  5. Step 5: Solve for x
    x = 146,442,260,345.06/181,913.75
  6. Step 6: Final answer
    x = 805,009.30

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.