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Finding the Third Proportional to 142,736 and 313,716

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Solution

The third proportional to 142,736 and 313,716 is: 689,508.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,736 : 313,716 = 313,716 : x
  2. Step 2: Convert to fraction form
    142,736/313,716 = 313,716/x
  3. Step 3: Cross multiply
    142,736x = 313,716 × 313,716
  4. Step 4: Simplify right side
    142,736x = 98,417,728,656
  5. Step 5: Solve for x
    x = 98,417,728,656/142,736
  6. Step 6: Final answer
    x = 689,508.80

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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.