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Finding the Third Proportional to 153,758.25 and 337,125.38

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Solution

The third proportional to 153,758.25 and 337,125.38 is: 739,170.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,758.25 : 337,125.38 = 337,125.38 : x
  2. Step 2: Convert to fraction form
    153,758.25/337,125.38 = 337,125.38/x
  3. Step 3: Cross multiply
    153,758.25x = 337,125.38 × 337,125.38
  4. Step 4: Simplify right side
    153,758.25x = 113,653,518,468.89
  5. Step 5: Solve for x
    x = 113,653,518,468.89/153,758.25
  6. Step 6: Final answer
    x = 739,170.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.