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Finding the Third Proportional to 140,382 and 229,206.38

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Solution

The third proportional to 140,382 and 229,206.38 is: 374,232.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,382 : 229,206.38 = 229,206.38 : x
  2. Step 2: Convert to fraction form
    140,382/229,206.38 = 229,206.38/x
  3. Step 3: Cross multiply
    140,382x = 229,206.38 × 229,206.38
  4. Step 4: Simplify right side
    140,382x = 52,535,562,340.64
  5. Step 5: Solve for x
    x = 52,535,562,340.64/140,382
  6. Step 6: Final answer
    x = 374,232.90

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.