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Finding the Third Proportional to 144,850 and 225,294

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Solution

The third proportional to 144,850 and 225,294 is: 350,413.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,850 : 225,294 = 225,294 : x
  2. Step 2: Convert to fraction form
    144,850/225,294 = 225,294/x
  3. Step 3: Cross multiply
    144,850x = 225,294 × 225,294
  4. Step 4: Simplify right side
    144,850x = 50,757,386,436
  5. Step 5: Solve for x
    x = 50,757,386,436/144,850
  6. Step 6: Final answer
    x = 350,413.44

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.