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Finding the Third Proportional to 167,252 and 357,400

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Solution

The third proportional to 167,252 and 357,400 is: 763,726.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,252 : 357,400 = 357,400 : x
  2. Step 2: Convert to fraction form
    167,252/357,400 = 357,400/x
  3. Step 3: Cross multiply
    167,252x = 357,400 × 357,400
  4. Step 4: Simplify right side
    167,252x = 127,734,760,000
  5. Step 5: Solve for x
    x = 127,734,760,000/167,252
  6. Step 6: Final answer
    x = 763,726.35

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.