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Finding the Third Proportional to 115,320 and 252,500

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Solution

The third proportional to 115,320 and 252,500 is: 552,863.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,320 : 252,500 = 252,500 : x
  2. Step 2: Convert to fraction form
    115,320/252,500 = 252,500/x
  3. Step 3: Cross multiply
    115,320x = 252,500 × 252,500
  4. Step 4: Simplify right side
    115,320x = 63,756,250,000
  5. Step 5: Solve for x
    x = 63,756,250,000/115,320
  6. Step 6: Final answer
    x = 552,863.77

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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.