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Finding the Third Proportional to 186,540 and 402,564

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Solution

The third proportional to 186,540 and 402,564 is: 868,756.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,540 : 402,564 = 402,564 : x
  2. Step 2: Convert to fraction form
    186,540/402,564 = 402,564/x
  3. Step 3: Cross multiply
    186,540x = 402,564 × 402,564
  4. Step 4: Simplify right side
    186,540x = 162,057,774,096
  5. Step 5: Solve for x
    x = 162,057,774,096/186,540
  6. Step 6: Final answer
    x = 868,756.16

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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.