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Finding the Third Proportional to 117,892.97 and 254,546.30

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Solution

The third proportional to 117,892.97 and 254,546.30 is: 549,598.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,892.97 : 254,546.30 = 254,546.30 : x
  2. Step 2: Convert to fraction form
    117,892.97/254,546.30 = 254,546.30/x
  3. Step 3: Cross multiply
    117,892.97x = 254,546.30 × 254,546.30
  4. Step 4: Simplify right side
    117,892.97x = 64,793,817,252.78
  5. Step 5: Solve for x
    x = 64,793,817,252.78/117,892.97
  6. Step 6: Final answer
    x = 549,598.66

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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.