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Finding the Third Proportional to 135,351 and 294,079.50

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Solution

The third proportional to 135,351 and 294,079.50 is: 638,951.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,351 : 294,079.50 = 294,079.50 : x
  2. Step 2: Convert to fraction form
    135,351/294,079.50 = 294,079.50/x
  3. Step 3: Cross multiply
    135,351x = 294,079.50 × 294,079.50
  4. Step 4: Simplify right side
    135,351x = 86,482,752,320.25
  5. Step 5: Solve for x
    x = 86,482,752,320.25/135,351
  6. Step 6: Final answer
    x = 638,951.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.