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Finding the Third Proportional to 141,874 and 308,948

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Solution

The third proportional to 141,874 and 308,948 is: 672,772.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,874 : 308,948 = 308,948 : x
  2. Step 2: Convert to fraction form
    141,874/308,948 = 308,948/x
  3. Step 3: Cross multiply
    141,874x = 308,948 × 308,948
  4. Step 4: Simplify right side
    141,874x = 95,448,866,704
  5. Step 5: Solve for x
    x = 95,448,866,704/141,874
  6. Step 6: Final answer
    x = 672,772.08

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.