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Finding the Third Proportional to 142,922 and 313,870

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Solution

The third proportional to 142,922 and 313,870 is: 689,287.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,922 : 313,870 = 313,870 : x
  2. Step 2: Convert to fraction form
    142,922/313,870 = 313,870/x
  3. Step 3: Cross multiply
    142,922x = 313,870 × 313,870
  4. Step 4: Simplify right side
    142,922x = 98,514,376,900
  5. Step 5: Solve for x
    x = 98,514,376,900/142,922
  6. Step 6: Final answer
    x = 689,287.70

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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.