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Finding the Third Proportional to 115,202.88 and 252,551.04

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Solution

The third proportional to 115,202.88 and 252,551.04 is: 553,649.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,202.88 : 252,551.04 = 252,551.04 : x
  2. Step 2: Convert to fraction form
    115,202.88/252,551.04 = 252,551.04/x
  3. Step 3: Cross multiply
    115,202.88x = 252,551.04 × 252,551.04
  4. Step 4: Simplify right side
    115,202.88x = 63,782,027,331.55
  5. Step 5: Solve for x
    x = 63,782,027,331.55/115,202.88
  6. Step 6: Final answer
    x = 553,649.58

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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.