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Finding the Third Proportional to 112,194 and 239,952

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Solution

The third proportional to 112,194 and 239,952 is: 513,191.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,194 : 239,952 = 239,952 : x
  2. Step 2: Convert to fraction form
    112,194/239,952 = 239,952/x
  3. Step 3: Cross multiply
    112,194x = 239,952 × 239,952
  4. Step 4: Simplify right side
    112,194x = 57,576,962,304
  5. Step 5: Solve for x
    x = 57,576,962,304/112,194
  6. Step 6: Final answer
    x = 513,191.10

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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.