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Finding the Third Proportional to 152,754 and 335,625

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Solution

The third proportional to 152,754 and 335,625 is: 737,421.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,754 : 335,625 = 335,625 : x
  2. Step 2: Convert to fraction form
    152,754/335,625 = 335,625/x
  3. Step 3: Cross multiply
    152,754x = 335,625 × 335,625
  4. Step 4: Simplify right side
    152,754x = 112,644,140,625
  5. Step 5: Solve for x
    x = 112,644,140,625/152,754
  6. Step 6: Final answer
    x = 737,421.87

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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.