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Finding the Third Proportional to 112,562 and 240,190

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Solution

The third proportional to 112,562 and 240,190 is: 512,528.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,562 : 240,190 = 240,190 : x
  2. Step 2: Convert to fraction form
    112,562/240,190 = 240,190/x
  3. Step 3: Cross multiply
    112,562x = 240,190 × 240,190
  4. Step 4: Simplify right side
    112,562x = 57,691,236,100
  5. Step 5: Solve for x
    x = 57,691,236,100/112,562
  6. Step 6: Final answer
    x = 512,528.53

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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.