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Finding the Third Proportional to 186,989.50 and 402,491

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Solution

The third proportional to 186,989.50 and 402,491 is: 866,353.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,989.50 : 402,491 = 402,491 : x
  2. Step 2: Convert to fraction form
    186,989.50/402,491 = 402,491/x
  3. Step 3: Cross multiply
    186,989.50x = 402,491 × 402,491
  4. Step 4: Simplify right side
    186,989.50x = 161,999,005,081
  5. Step 5: Solve for x
    x = 161,999,005,081/186,989.50
  6. Step 6: Final answer
    x = 866,353.49

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.