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Finding the Third Proportional to 186,702 and 296,847

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Solution

The third proportional to 186,702 and 296,847 is: 471,972.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,702 : 296,847 = 296,847 : x
  2. Step 2: Convert to fraction form
    186,702/296,847 = 296,847/x
  3. Step 3: Cross multiply
    186,702x = 296,847 × 296,847
  4. Step 4: Simplify right side
    186,702x = 88,118,141,409
  5. Step 5: Solve for x
    x = 88,118,141,409/186,702
  6. Step 6: Final answer
    x = 471,972.13

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.