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Finding the Third Proportional to 141,150 and 309,948

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Solution

The third proportional to 141,150 and 309,948 is: 680,607.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,150 : 309,948 = 309,948 : x
  2. Step 2: Convert to fraction form
    141,150/309,948 = 309,948/x
  3. Step 3: Cross multiply
    141,150x = 309,948 × 309,948
  4. Step 4: Simplify right side
    141,150x = 96,067,762,704
  5. Step 5: Solve for x
    x = 96,067,762,704/141,150
  6. Step 6: Final answer
    x = 680,607.60

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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.