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Finding the Third Proportional to 115,204.50 and 252,552

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Solution

The third proportional to 115,204.50 and 252,552 is: 553,646.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,204.50 : 252,552 = 252,552 : x
  2. Step 2: Convert to fraction form
    115,204.50/252,552 = 252,552/x
  3. Step 3: Cross multiply
    115,204.50x = 252,552 × 252,552
  4. Step 4: Simplify right side
    115,204.50x = 63,782,512,704
  5. Step 5: Solve for x
    x = 63,782,512,704/115,204.50
  6. Step 6: Final answer
    x = 553,646.02

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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.