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Finding the Third Proportional to 157,464.84 and 239,113.27

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Solution

The third proportional to 157,464.84 and 239,113.27 is: 363,097.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,464.84 : 239,113.27 = 239,113.27 : x
  2. Step 2: Convert to fraction form
    157,464.84/239,113.27 = 239,113.27/x
  3. Step 3: Cross multiply
    157,464.84x = 239,113.27 × 239,113.27
  4. Step 4: Simplify right side
    157,464.84x = 57,175,153,797.85
  5. Step 5: Solve for x
    x = 57,175,153,797.85/157,464.84
  6. Step 6: Final answer
    x = 363,097.90

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.