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Finding the Third Proportional to 142,719 and 313,687

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Solution

The third proportional to 142,719 and 313,687 is: 689,463.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,719 : 313,687 = 313,687 : x
  2. Step 2: Convert to fraction form
    142,719/313,687 = 313,687/x
  3. Step 3: Cross multiply
    142,719x = 313,687 × 313,687
  4. Step 4: Simplify right side
    142,719x = 98,399,533,969
  5. Step 5: Solve for x
    x = 98,399,533,969/142,719
  6. Step 6: Final answer
    x = 689,463.45

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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.