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Finding the Third Proportional to 142,532 and 225,681

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Solution

The third proportional to 142,532 and 225,681 is: 357,336.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,532 : 225,681 = 225,681 : x
  2. Step 2: Convert to fraction form
    142,532/225,681 = 225,681/x
  3. Step 3: Cross multiply
    142,532x = 225,681 × 225,681
  4. Step 4: Simplify right side
    142,532x = 50,931,913,761
  5. Step 5: Solve for x
    x = 50,931,913,761/142,532
  6. Step 6: Final answer
    x = 357,336.69

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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.