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Finding the Third Proportional to 175,924 and 272,521

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Solution

The third proportional to 175,924 and 272,521 is: 422,157.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,924 : 272,521 = 272,521 : x
  2. Step 2: Convert to fraction form
    175,924/272,521 = 272,521/x
  3. Step 3: Cross multiply
    175,924x = 272,521 × 272,521
  4. Step 4: Simplify right side
    175,924x = 74,267,695,441
  5. Step 5: Solve for x
    x = 74,267,695,441/175,924
  6. Step 6: Final answer
    x = 422,157.84

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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.