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Finding the Third Proportional to 186,437 and 291,647

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Solution

The third proportional to 186,437 and 291,647 is: 456,229.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,437 : 291,647 = 291,647 : x
  2. Step 2: Convert to fraction form
    186,437/291,647 = 291,647/x
  3. Step 3: Cross multiply
    186,437x = 291,647 × 291,647
  4. Step 4: Simplify right side
    186,437x = 85,057,972,609
  5. Step 5: Solve for x
    x = 85,057,972,609/186,437
  6. Step 6: Final answer
    x = 456,229.04

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.