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Finding the Third Proportional to 134,919 and 296,082

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Solution

The third proportional to 134,919 and 296,082 is: 649,756.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,919 : 296,082 = 296,082 : x
  2. Step 2: Convert to fraction form
    134,919/296,082 = 296,082/x
  3. Step 3: Cross multiply
    134,919x = 296,082 × 296,082
  4. Step 4: Simplify right side
    134,919x = 87,664,550,724
  5. Step 5: Solve for x
    x = 87,664,550,724/134,919
  6. Step 6: Final answer
    x = 649,756.90

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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.