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Finding the Third Proportional to 148,569.75 and 320,240.25

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Solution

The third proportional to 148,569.75 and 320,240.25 is: 690,273.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,569.75 : 320,240.25 = 320,240.25 : x
  2. Step 2: Convert to fraction form
    148,569.75/320,240.25 = 320,240.25/x
  3. Step 3: Cross multiply
    148,569.75x = 320,240.25 × 320,240.25
  4. Step 4: Simplify right side
    148,569.75x = 102,553,817,720.06
  5. Step 5: Solve for x
    x = 102,553,817,720.06/148,569.75
  6. Step 6: Final answer
    x = 690,273.88

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.