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Finding the Third Proportional to 115,164 and 251,880

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Solution

The third proportional to 115,164 and 251,880 is: 550,897.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,164 : 251,880 = 251,880 : x
  2. Step 2: Convert to fraction form
    115,164/251,880 = 251,880/x
  3. Step 3: Cross multiply
    115,164x = 251,880 × 251,880
  4. Step 4: Simplify right side
    115,164x = 63,443,534,400
  5. Step 5: Solve for x
    x = 63,443,534,400/115,164
  6. Step 6: Final answer
    x = 550,897.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.