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Finding the Third Proportional to 142,489.13 and 225,622.13

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Solution

The third proportional to 142,489.13 and 225,622.13 is: 357,257.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,489.13 : 225,622.13 = 225,622.13 : x
  2. Step 2: Convert to fraction form
    142,489.13/225,622.13 = 225,622.13/x
  3. Step 3: Cross multiply
    142,489.13x = 225,622.13 × 225,622.13
  4. Step 4: Simplify right side
    142,489.13x = 50,905,343,289.52
  5. Step 5: Solve for x
    x = 50,905,343,289.52/142,489.13
  6. Step 6: Final answer
    x = 357,257.74

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.