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Finding the Third Proportional to 186,325.50 and 402,414

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Solution

The third proportional to 186,325.50 and 402,414 is: 869,108.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,325.50 : 402,414 = 402,414 : x
  2. Step 2: Convert to fraction form
    186,325.50/402,414 = 402,414/x
  3. Step 3: Cross multiply
    186,325.50x = 402,414 × 402,414
  4. Step 4: Simplify right side
    186,325.50x = 161,937,027,396
  5. Step 5: Solve for x
    x = 161,937,027,396/186,325.50
  6. Step 6: Final answer
    x = 869,108.24

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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.