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Finding the Third Proportional to 115,262 and 250,204

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Solution

The third proportional to 115,262 and 250,204 is: 543,128.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,262 : 250,204 = 250,204 : x
  2. Step 2: Convert to fraction form
    115,262/250,204 = 250,204/x
  3. Step 3: Cross multiply
    115,262x = 250,204 × 250,204
  4. Step 4: Simplify right side
    115,262x = 62,602,041,616
  5. Step 5: Solve for x
    x = 62,602,041,616/115,262
  6. Step 6: Final answer
    x = 543,128.19

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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.