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Finding the Third Proportional to 154,990.97 and 233,626.78

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Solution

The third proportional to 154,990.97 and 233,626.78 is: 352,159.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,990.97 : 233,626.78 = 233,626.78 : x
  2. Step 2: Convert to fraction form
    154,990.97/233,626.78 = 233,626.78/x
  3. Step 3: Cross multiply
    154,990.97x = 233,626.78 × 233,626.78
  4. Step 4: Simplify right side
    154,990.97x = 54,581,472,917.24
  5. Step 5: Solve for x
    x = 54,581,472,917.24/154,990.97
  6. Step 6: Final answer
    x = 352,159.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.