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Finding the Third Proportional to 117,918 and 254,562

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Solution

The third proportional to 117,918 and 254,562 is: 549,549.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,918 : 254,562 = 254,562 : x
  2. Step 2: Convert to fraction form
    117,918/254,562 = 254,562/x
  3. Step 3: Cross multiply
    117,918x = 254,562 × 254,562
  4. Step 4: Simplify right side
    117,918x = 64,801,811,844
  5. Step 5: Solve for x
    x = 64,801,811,844/117,918
  6. Step 6: Final answer
    x = 549,549.79

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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.