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Finding the Third Proportional to 154,260.25 and 233,034.13

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Solution

The third proportional to 154,260.25 and 233,034.13 is: 352,034.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,260.25 : 233,034.13 = 233,034.13 : x
  2. Step 2: Convert to fraction form
    154,260.25/233,034.13 = 233,034.13/x
  3. Step 3: Cross multiply
    154,260.25x = 233,034.13 × 233,034.13
  4. Step 4: Simplify right side
    154,260.25x = 54,304,903,414.52
  5. Step 5: Solve for x
    x = 54,304,903,414.52/154,260.25
  6. Step 6: Final answer
    x = 352,034.33

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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.