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Finding the Third Proportional to 119,157 and 248,115

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Solution

The third proportional to 119,157 and 248,115 is: 516,638.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,157 : 248,115 = 248,115 : x
  2. Step 2: Convert to fraction form
    119,157/248,115 = 248,115/x
  3. Step 3: Cross multiply
    119,157x = 248,115 × 248,115
  4. Step 4: Simplify right side
    119,157x = 61,561,053,225
  5. Step 5: Solve for x
    x = 61,561,053,225/119,157
  6. Step 6: Final answer
    x = 516,638.16

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.