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Finding the Third Proportional to 115,920 and 244,293

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Solution

The third proportional to 115,920 and 244,293 is: 514,829.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,920 : 244,293 = 244,293 : x
  2. Step 2: Convert to fraction form
    115,920/244,293 = 244,293/x
  3. Step 3: Cross multiply
    115,920x = 244,293 × 244,293
  4. Step 4: Simplify right side
    115,920x = 59,679,069,849
  5. Step 5: Solve for x
    x = 59,679,069,849/115,920
  6. Step 6: Final answer
    x = 514,829.80

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.