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Finding the Third Proportional to 238,132 and 368,394

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Solution

The third proportional to 238,132 and 368,394 is: 569,911.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,132 : 368,394 = 368,394 : x
  2. Step 2: Convert to fraction form
    238,132/368,394 = 368,394/x
  3. Step 3: Cross multiply
    238,132x = 368,394 × 368,394
  4. Step 4: Simplify right side
    238,132x = 135,714,139,236
  5. Step 5: Solve for x
    x = 135,714,139,236/238,132
  6. Step 6: Final answer
    x = 569,911.39

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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.