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Finding the Third Proportional to 115,562 and 240,196

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Solution

The third proportional to 115,562 and 240,196 is: 499,248.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,562 : 240,196 = 240,196 : x
  2. Step 2: Convert to fraction form
    115,562/240,196 = 240,196/x
  3. Step 3: Cross multiply
    115,562x = 240,196 × 240,196
  4. Step 4: Simplify right side
    115,562x = 57,694,118,416
  5. Step 5: Solve for x
    x = 57,694,118,416/115,562
  6. Step 6: Final answer
    x = 499,248.18

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.