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Finding the Third Proportional to 152,272 and 334,920

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Solution

The third proportional to 152,272 and 334,920 is: 736,651.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,272 : 334,920 = 334,920 : x
  2. Step 2: Convert to fraction form
    152,272/334,920 = 334,920/x
  3. Step 3: Cross multiply
    152,272x = 334,920 × 334,920
  4. Step 4: Simplify right side
    152,272x = 112,171,406,400
  5. Step 5: Solve for x
    x = 112,171,406,400/152,272
  6. Step 6: Final answer
    x = 736,651.56

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.