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Finding the Third Proportional to 115,202.25 and 252,549

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Solution

The third proportional to 115,202.25 and 252,549 is: 553,643.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,202.25 : 252,549 = 252,549 : x
  2. Step 2: Convert to fraction form
    115,202.25/252,549 = 252,549/x
  3. Step 3: Cross multiply
    115,202.25x = 252,549 × 252,549
  4. Step 4: Simplify right side
    115,202.25x = 63,780,997,401
  5. Step 5: Solve for x
    x = 63,780,997,401/115,202.25
  6. Step 6: Final answer
    x = 553,643.68

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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.