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Finding the Third Proportional to 115,452 and 248,157

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Solution

The third proportional to 115,452 and 248,157 is: 533,398.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,452 : 248,157 = 248,157 : x
  2. Step 2: Convert to fraction form
    115,452/248,157 = 248,157/x
  3. Step 3: Cross multiply
    115,452x = 248,157 × 248,157
  4. Step 4: Simplify right side
    115,452x = 61,581,896,649
  5. Step 5: Solve for x
    x = 61,581,896,649/115,452
  6. Step 6: Final answer
    x = 533,398.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.