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Finding the Third Proportional to 238,062 and 368,919

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Solution

The third proportional to 238,062 and 368,919 is: 571,704.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,062 : 368,919 = 368,919 : x
  2. Step 2: Convert to fraction form
    238,062/368,919 = 368,919/x
  3. Step 3: Cross multiply
    238,062x = 368,919 × 368,919
  4. Step 4: Simplify right side
    238,062x = 136,101,228,561
  5. Step 5: Solve for x
    x = 136,101,228,561/238,062
  6. Step 6: Final answer
    x = 571,704.97

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.