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Finding the Third Proportional to 117,280 and 252,992

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Solution

The third proportional to 117,280 and 252,992 is: 545,744.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,280 : 252,992 = 252,992 : x
  2. Step 2: Convert to fraction form
    117,280/252,992 = 252,992/x
  3. Step 3: Cross multiply
    117,280x = 252,992 × 252,992
  4. Step 4: Simplify right side
    117,280x = 64,004,952,064
  5. Step 5: Solve for x
    x = 64,004,952,064/117,280
  6. Step 6: Final answer
    x = 545,744.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.