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Finding the Third Proportional to 186,329 and 402,162.13

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Solution

The third proportional to 186,329 and 402,162.13 is: 868,004.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,329 : 402,162.13 = 402,162.13 : x
  2. Step 2: Convert to fraction form
    186,329/402,162.13 = 402,162.13/x
  3. Step 3: Cross multiply
    186,329x = 402,162.13 × 402,162.13
  4. Step 4: Simplify right side
    186,329x = 161,734,374,784.52
  5. Step 5: Solve for x
    x = 161,734,374,784.52/186,329
  6. Step 6: Final answer
    x = 868,004.31

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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.