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Finding the Third Proportional to 115,569 and 252,407

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Solution

The third proportional to 115,569 and 252,407 is: 551,266.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,569 : 252,407 = 252,407 : x
  2. Step 2: Convert to fraction form
    115,569/252,407 = 252,407/x
  3. Step 3: Cross multiply
    115,569x = 252,407 × 252,407
  4. Step 4: Simplify right side
    115,569x = 63,709,293,649
  5. Step 5: Solve for x
    x = 63,709,293,649/115,569
  6. Step 6: Final answer
    x = 551,266.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.