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Finding the Third Proportional to 175,734 and 272,304

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Solution

The third proportional to 175,734 and 272,304 is: 421,941.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,734 : 272,304 = 272,304 : x
  2. Step 2: Convert to fraction form
    175,734/272,304 = 272,304/x
  3. Step 3: Cross multiply
    175,734x = 272,304 × 272,304
  4. Step 4: Simplify right side
    175,734x = 74,149,468,416
  5. Step 5: Solve for x
    x = 74,149,468,416/175,734
  6. Step 6: Final answer
    x = 421,941.50

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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.