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Finding the Third Proportional to 115,422 and 250,527

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Solution

The third proportional to 115,422 and 250,527 is: 543,776.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,422 : 250,527 = 250,527 : x
  2. Step 2: Convert to fraction form
    115,422/250,527 = 250,527/x
  3. Step 3: Cross multiply
    115,422x = 250,527 × 250,527
  4. Step 4: Simplify right side
    115,422x = 62,763,777,729
  5. Step 5: Solve for x
    x = 62,763,777,729/115,422
  6. Step 6: Final answer
    x = 543,776.56

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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.