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Finding the Third Proportional to 105,452 and 248,924

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Solution

The third proportional to 105,452 and 248,924 is: 587,595.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,452 : 248,924 = 248,924 : x
  2. Step 2: Convert to fraction form
    105,452/248,924 = 248,924/x
  3. Step 3: Cross multiply
    105,452x = 248,924 × 248,924
  4. Step 4: Simplify right side
    105,452x = 61,963,157,776
  5. Step 5: Solve for x
    x = 61,963,157,776/105,452
  6. Step 6: Final answer
    x = 587,595.85

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.