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Finding the Third Proportional to 112,005 and 234,382

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Solution

The third proportional to 112,005 and 234,382 is: 490,468.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,005 : 234,382 = 234,382 : x
  2. Step 2: Convert to fraction form
    112,005/234,382 = 234,382/x
  3. Step 3: Cross multiply
    112,005x = 234,382 × 234,382
  4. Step 4: Simplify right side
    112,005x = 54,934,921,924
  5. Step 5: Solve for x
    x = 54,934,921,924/112,005
  6. Step 6: Final answer
    x = 490,468.48

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.