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Finding the Third Proportional to 186,583.50 and 402,651

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Solution

The third proportional to 186,583.50 and 402,651 is: 868,929.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,583.50 : 402,651 = 402,651 : x
  2. Step 2: Convert to fraction form
    186,583.50/402,651 = 402,651/x
  3. Step 3: Cross multiply
    186,583.50x = 402,651 × 402,651
  4. Step 4: Simplify right side
    186,583.50x = 162,127,827,801
  5. Step 5: Solve for x
    x = 162,127,827,801/186,583.50
  6. Step 6: Final answer
    x = 868,929.07

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.