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Finding the Third Proportional to 132,996 and 284,424

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Solution

The third proportional to 132,996 and 284,424 is: 608,266.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,996 : 284,424 = 284,424 : x
  2. Step 2: Convert to fraction form
    132,996/284,424 = 284,424/x
  3. Step 3: Cross multiply
    132,996x = 284,424 × 284,424
  4. Step 4: Simplify right side
    132,996x = 80,897,011,776
  5. Step 5: Solve for x
    x = 80,897,011,776/132,996
  6. Step 6: Final answer
    x = 608,266.50

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.