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Finding the Third Proportional to 154,254.38 and 234,357.75

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Solution

The third proportional to 154,254.38 and 234,357.75 is: 356,058.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,254.38 : 234,357.75 = 234,357.75 : x
  2. Step 2: Convert to fraction form
    154,254.38/234,357.75 = 234,357.75/x
  3. Step 3: Cross multiply
    154,254.38x = 234,357.75 × 234,357.75
  4. Step 4: Simplify right side
    154,254.38x = 54,923,554,985.06
  5. Step 5: Solve for x
    x = 54,923,554,985.06/154,254.38
  6. Step 6: Final answer
    x = 356,058.33

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.