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Finding the Third Proportional to 237,920 and 350,304

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Solution

The third proportional to 237,920 and 350,304 is: 515,773.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,920 : 350,304 = 350,304 : x
  2. Step 2: Convert to fraction form
    237,920/350,304 = 350,304/x
  3. Step 3: Cross multiply
    237,920x = 350,304 × 350,304
  4. Step 4: Simplify right side
    237,920x = 122,712,892,416
  5. Step 5: Solve for x
    x = 122,712,892,416/237,920
  6. Step 6: Final answer
    x = 515,773.76

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.