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Finding the Third Proportional to 238,098 and 359,580

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Solution

The third proportional to 238,098 and 359,580 is: 543,044.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,098 : 359,580 = 359,580 : x
  2. Step 2: Convert to fraction form
    238,098/359,580 = 359,580/x
  3. Step 3: Cross multiply
    238,098x = 359,580 × 359,580
  4. Step 4: Simplify right side
    238,098x = 129,297,776,400
  5. Step 5: Solve for x
    x = 129,297,776,400/238,098
  6. Step 6: Final answer
    x = 543,044.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.