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Finding the Third Proportional to 154,937.25 and 239,240.25

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Solution

The third proportional to 154,937.25 and 239,240.25 is: 369,413.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,937.25 : 239,240.25 = 239,240.25 : x
  2. Step 2: Convert to fraction form
    154,937.25/239,240.25 = 239,240.25/x
  3. Step 3: Cross multiply
    154,937.25x = 239,240.25 × 239,240.25
  4. Step 4: Simplify right side
    154,937.25x = 57,235,897,220.06
  5. Step 5: Solve for x
    x = 57,235,897,220.06/154,937.25
  6. Step 6: Final answer
    x = 369,413.41

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.