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Finding the Third Proportional to 175,902 and 272,541

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Solution

The third proportional to 175,902 and 272,541 is: 422,272.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,902 : 272,541 = 272,541 : x
  2. Step 2: Convert to fraction form
    175,902/272,541 = 272,541/x
  3. Step 3: Cross multiply
    175,902x = 272,541 × 272,541
  4. Step 4: Simplify right side
    175,902x = 74,278,596,681
  5. Step 5: Solve for x
    x = 74,278,596,681/175,902
  6. Step 6: Final answer
    x = 422,272.61

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.