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Finding the Third Proportional to 135,413 and 297,082

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Solution

The third proportional to 135,413 and 297,082 is: 651,766.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,413 : 297,082 = 297,082 : x
  2. Step 2: Convert to fraction form
    135,413/297,082 = 297,082/x
  3. Step 3: Cross multiply
    135,413x = 297,082 × 297,082
  4. Step 4: Simplify right side
    135,413x = 88,257,714,724
  5. Step 5: Solve for x
    x = 88,257,714,724/135,413
  6. Step 6: Final answer
    x = 651,766.93

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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.