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Finding the Third Proportional to 117,718 and 255,080

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Solution

The third proportional to 117,718 and 255,080 is: 552,726.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,718 : 255,080 = 255,080 : x
  2. Step 2: Convert to fraction form
    117,718/255,080 = 255,080/x
  3. Step 3: Cross multiply
    117,718x = 255,080 × 255,080
  4. Step 4: Simplify right side
    117,718x = 65,065,806,400
  5. Step 5: Solve for x
    x = 65,065,806,400/117,718
  6. Step 6: Final answer
    x = 552,726.06

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.