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Finding the Third Proportional to 115,462 and 252,248

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Solution

The third proportional to 115,462 and 252,248 is: 551,082.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,462 : 252,248 = 252,248 : x
  2. Step 2: Convert to fraction form
    115,462/252,248 = 252,248/x
  3. Step 3: Cross multiply
    115,462x = 252,248 × 252,248
  4. Step 4: Simplify right side
    115,462x = 63,629,053,504
  5. Step 5: Solve for x
    x = 63,629,053,504/115,462
  6. Step 6: Final answer
    x = 551,082.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.