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Finding the Third Proportional to 238,297 and 351,902

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Solution

The third proportional to 238,297 and 351,902 is: 519,666.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,297 : 351,902 = 351,902 : x
  2. Step 2: Convert to fraction form
    238,297/351,902 = 351,902/x
  3. Step 3: Cross multiply
    238,297x = 351,902 × 351,902
  4. Step 4: Simplify right side
    238,297x = 123,835,017,604
  5. Step 5: Solve for x
    x = 123,835,017,604/238,297
  6. Step 6: Final answer
    x = 519,666.71

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.