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Finding the Third Proportional to 148,659.75 and 316,530

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Solution

The third proportional to 148,659.75 and 316,530 is: 673,963.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,659.75 : 316,530 = 316,530 : x
  2. Step 2: Convert to fraction form
    148,659.75/316,530 = 316,530/x
  3. Step 3: Cross multiply
    148,659.75x = 316,530 × 316,530
  4. Step 4: Simplify right side
    148,659.75x = 100,191,240,900
  5. Step 5: Solve for x
    x = 100,191,240,900/148,659.75
  6. Step 6: Final answer
    x = 673,963.47

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.