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Finding the Third Proportional to 240,726.75 and 372,541.50

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Solution

The third proportional to 240,726.75 and 372,541.50 is: 576,534.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,726.75 : 372,541.50 = 372,541.50 : x
  2. Step 2: Convert to fraction form
    240,726.75/372,541.50 = 372,541.50/x
  3. Step 3: Cross multiply
    240,726.75x = 372,541.50 × 372,541.50
  4. Step 4: Simplify right side
    240,726.75x = 138,787,169,222.25
  5. Step 5: Solve for x
    x = 138,787,169,222.25/240,726.75
  6. Step 6: Final answer
    x = 576,534.05

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.