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Finding the Third Proportional to 136,098 and 290,250

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Solution

The third proportional to 136,098 and 290,250 is: 619,002.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,098 : 290,250 = 290,250 : x
  2. Step 2: Convert to fraction form
    136,098/290,250 = 290,250/x
  3. Step 3: Cross multiply
    136,098x = 290,250 × 290,250
  4. Step 4: Simplify right side
    136,098x = 84,245,062,500
  5. Step 5: Solve for x
    x = 84,245,062,500/136,098
  6. Step 6: Final answer
    x = 619,002.94

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.