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Finding the Third Proportional to 115,894 and 244,242

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Solution

The third proportional to 115,894 and 244,242 is: 514,730.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,894 : 244,242 = 244,242 : x
  2. Step 2: Convert to fraction form
    115,894/244,242 = 244,242/x
  3. Step 3: Cross multiply
    115,894x = 244,242 × 244,242
  4. Step 4: Simplify right side
    115,894x = 59,654,154,564
  5. Step 5: Solve for x
    x = 59,654,154,564/115,894
  6. Step 6: Final answer
    x = 514,730.31

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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.