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Finding the Third Proportional to 115,456 and 252,296

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Solution

The third proportional to 115,456 and 252,296 is: 551,320.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,456 : 252,296 = 252,296 : x
  2. Step 2: Convert to fraction form
    115,456/252,296 = 252,296/x
  3. Step 3: Cross multiply
    115,456x = 252,296 × 252,296
  4. Step 4: Simplify right side
    115,456x = 63,653,271,616
  5. Step 5: Solve for x
    x = 63,653,271,616/115,456
  6. Step 6: Final answer
    x = 551,320.60

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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.