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Finding the Third Proportional to 135,432 and 297,112

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Solution

The third proportional to 135,432 and 297,112 is: 651,807.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,432 : 297,112 = 297,112 : x
  2. Step 2: Convert to fraction form
    135,432/297,112 = 297,112/x
  3. Step 3: Cross multiply
    135,432x = 297,112 × 297,112
  4. Step 4: Simplify right side
    135,432x = 88,275,540,544
  5. Step 5: Solve for x
    x = 88,275,540,544/135,432
  6. Step 6: Final answer
    x = 651,807.11

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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.