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Finding the Third Proportional to 135,098 and 296,140

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Solution

The third proportional to 135,098 and 296,140 is: 649,150.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,098 : 296,140 = 296,140 : x
  2. Step 2: Convert to fraction form
    135,098/296,140 = 296,140/x
  3. Step 3: Cross multiply
    135,098x = 296,140 × 296,140
  4. Step 4: Simplify right side
    135,098x = 87,698,899,600
  5. Step 5: Solve for x
    x = 87,698,899,600/135,098
  6. Step 6: Final answer
    x = 649,150.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.