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Finding the Third Proportional to 114,084 and 266,580

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Solution

The third proportional to 114,084 and 266,580 is: 622,917.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,084 : 266,580 = 266,580 : x
  2. Step 2: Convert to fraction form
    114,084/266,580 = 266,580/x
  3. Step 3: Cross multiply
    114,084x = 266,580 × 266,580
  4. Step 4: Simplify right side
    114,084x = 71,064,896,400
  5. Step 5: Solve for x
    x = 71,064,896,400/114,084
  6. Step 6: Final answer
    x = 622,917.29

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.