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Finding the Third Proportional to 187,345 and 253,952

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Solution

The third proportional to 187,345 and 253,952 is: 344,239.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,345 : 253,952 = 253,952 : x
  2. Step 2: Convert to fraction form
    187,345/253,952 = 253,952/x
  3. Step 3: Cross multiply
    187,345x = 253,952 × 253,952
  4. Step 4: Simplify right side
    187,345x = 64,491,618,304
  5. Step 5: Solve for x
    x = 64,491,618,304/187,345
  6. Step 6: Final answer
    x = 344,239.87

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.