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Finding the Third Proportional to 186,504.50 and 402,493

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Solution

The third proportional to 186,504.50 and 402,493 is: 868,615.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,504.50 : 402,493 = 402,493 : x
  2. Step 2: Convert to fraction form
    186,504.50/402,493 = 402,493/x
  3. Step 3: Cross multiply
    186,504.50x = 402,493 × 402,493
  4. Step 4: Simplify right side
    186,504.50x = 162,000,615,049
  5. Step 5: Solve for x
    x = 162,000,615,049/186,504.50
  6. Step 6: Final answer
    x = 868,615.05

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.