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Finding the Third Proportional to 117,566 and 254,815

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Solution

The third proportional to 117,566 and 254,815 is: 552,291.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,566 : 254,815 = 254,815 : x
  2. Step 2: Convert to fraction form
    117,566/254,815 = 254,815/x
  3. Step 3: Cross multiply
    117,566x = 254,815 × 254,815
  4. Step 4: Simplify right side
    117,566x = 64,930,684,225
  5. Step 5: Solve for x
    x = 64,930,684,225/117,566
  6. Step 6: Final answer
    x = 552,291.34

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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.