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Finding the Third Proportional to 112,568 and 240,202

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Solution

The third proportional to 112,568 and 240,202 is: 512,552.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,568 : 240,202 = 240,202 : x
  2. Step 2: Convert to fraction form
    112,568/240,202 = 240,202/x
  3. Step 3: Cross multiply
    112,568x = 240,202 × 240,202
  4. Step 4: Simplify right side
    112,568x = 57,697,000,804
  5. Step 5: Solve for x
    x = 57,697,000,804/112,568
  6. Step 6: Final answer
    x = 512,552.42

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.