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Finding the Third Proportional to 135,648.84 and 295,132.78

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Solution

The third proportional to 135,648.84 and 295,132.78 is: 642,123.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,648.84 : 295,132.78 = 295,132.78 : x
  2. Step 2: Convert to fraction form
    135,648.84/295,132.78 = 295,132.78/x
  3. Step 3: Cross multiply
    135,648.84x = 295,132.78 × 295,132.78
  4. Step 4: Simplify right side
    135,648.84x = 87,103,358,568.36
  5. Step 5: Solve for x
    x = 87,103,358,568.36/135,648.84
  6. Step 6: Final answer
    x = 642,123.86

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.