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Finding the Third Proportional to 154,658.25 and 232,398

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Solution

The third proportional to 154,658.25 and 232,398 is: 349,214.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,658.25 : 232,398 = 232,398 : x
  2. Step 2: Convert to fraction form
    154,658.25/232,398 = 232,398/x
  3. Step 3: Cross multiply
    154,658.25x = 232,398 × 232,398
  4. Step 4: Simplify right side
    154,658.25x = 54,008,830,404
  5. Step 5: Solve for x
    x = 54,008,830,404/154,658.25
  6. Step 6: Final answer
    x = 349,214.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.