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Finding the Third Proportional to 112,194 and 240,149

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Solution

The third proportional to 112,194 and 240,149 is: 514,034.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,194 : 240,149 = 240,149 : x
  2. Step 2: Convert to fraction form
    112,194/240,149 = 240,149/x
  3. Step 3: Cross multiply
    112,194x = 240,149 × 240,149
  4. Step 4: Simplify right side
    112,194x = 57,671,542,201
  5. Step 5: Solve for x
    x = 57,671,542,201/112,194
  6. Step 6: Final answer
    x = 514,034.10

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.