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Finding the Third Proportional to 112,198 and 240,159

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Solution

The third proportional to 112,198 and 240,159 is: 514,058.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,198 : 240,159 = 240,159 : x
  2. Step 2: Convert to fraction form
    112,198/240,159 = 240,159/x
  3. Step 3: Cross multiply
    112,198x = 240,159 × 240,159
  4. Step 4: Simplify right side
    112,198x = 57,676,345,281
  5. Step 5: Solve for x
    x = 57,676,345,281/112,198
  6. Step 6: Final answer
    x = 514,058.59

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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.