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Finding the Third Proportional to 142,758 and 313,764

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Solution

The third proportional to 142,758 and 313,764 is: 689,613.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,758 : 313,764 = 313,764 : x
  2. Step 2: Convert to fraction form
    142,758/313,764 = 313,764/x
  3. Step 3: Cross multiply
    142,758x = 313,764 × 313,764
  4. Step 4: Simplify right side
    142,758x = 98,447,847,696
  5. Step 5: Solve for x
    x = 98,447,847,696/142,758
  6. Step 6: Final answer
    x = 689,613.53

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.