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Finding the Third Proportional to 175,818 and 272,414

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Solution

The third proportional to 175,818 and 272,414 is: 422,080.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,818 : 272,414 = 272,414 : x
  2. Step 2: Convert to fraction form
    175,818/272,414 = 272,414/x
  3. Step 3: Cross multiply
    175,818x = 272,414 × 272,414
  4. Step 4: Simplify right side
    175,818x = 74,209,387,396
  5. Step 5: Solve for x
    x = 74,209,387,396/175,818
  6. Step 6: Final answer
    x = 422,080.72

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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.