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Finding the Third Proportional to 117,114 and 257,556

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Solution

The third proportional to 117,114 and 257,556 is: 566,414.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,114 : 257,556 = 257,556 : x
  2. Step 2: Convert to fraction form
    117,114/257,556 = 257,556/x
  3. Step 3: Cross multiply
    117,114x = 257,556 × 257,556
  4. Step 4: Simplify right side
    117,114x = 66,335,093,136
  5. Step 5: Solve for x
    x = 66,335,093,136/117,114
  6. Step 6: Final answer
    x = 566,414.72

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.