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Finding the Third Proportional to 115,166 and 250,004

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Solution

The third proportional to 115,166 and 250,004 is: 542,712.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,166 : 250,004 = 250,004 : x
  2. Step 2: Convert to fraction form
    115,166/250,004 = 250,004/x
  3. Step 3: Cross multiply
    115,166x = 250,004 × 250,004
  4. Step 4: Simplify right side
    115,166x = 62,502,000,016
  5. Step 5: Solve for x
    x = 62,502,000,016/115,166
  6. Step 6: Final answer
    x = 542,712.26

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.