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Finding the Third Proportional to 244,726.25 and 344,635.50

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Solution

The third proportional to 244,726.25 and 344,635.50 is: 485,332.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,726.25 : 344,635.50 = 344,635.50 : x
  2. Step 2: Convert to fraction form
    244,726.25/344,635.50 = 344,635.50/x
  3. Step 3: Cross multiply
    244,726.25x = 344,635.50 × 344,635.50
  4. Step 4: Simplify right side
    244,726.25x = 118,773,627,860.25
  5. Step 5: Solve for x
    x = 118,773,627,860.25/244,726.25
  6. Step 6: Final answer
    x = 485,332.60

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.