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Finding the Third Proportional to 141,359.25 and 307,275

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Solution

The third proportional to 141,359.25 and 307,275 is: 667,928.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,359.25 : 307,275 = 307,275 : x
  2. Step 2: Convert to fraction form
    141,359.25/307,275 = 307,275/x
  3. Step 3: Cross multiply
    141,359.25x = 307,275 × 307,275
  4. Step 4: Simplify right side
    141,359.25x = 94,417,925,625
  5. Step 5: Solve for x
    x = 94,417,925,625/141,359.25
  6. Step 6: Final answer
    x = 667,928.88

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.