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Finding the Third Proportional to 186,580 and 402,632

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Solution

The third proportional to 186,580 and 402,632 is: 868,863.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,580 : 402,632 = 402,632 : x
  2. Step 2: Convert to fraction form
    186,580/402,632 = 402,632/x
  3. Step 3: Cross multiply
    186,580x = 402,632 × 402,632
  4. Step 4: Simplify right side
    186,580x = 162,112,527,424
  5. Step 5: Solve for x
    x = 162,112,527,424/186,580
  6. Step 6: Final answer
    x = 868,863.37

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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.