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Finding the Third Proportional to 112,233 and 240,230

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Solution

The third proportional to 112,233 and 240,230 is: 514,202.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,233 : 240,230 = 240,230 : x
  2. Step 2: Convert to fraction form
    112,233/240,230 = 240,230/x
  3. Step 3: Cross multiply
    112,233x = 240,230 × 240,230
  4. Step 4: Simplify right side
    112,233x = 57,710,452,900
  5. Step 5: Solve for x
    x = 57,710,452,900/112,233
  6. Step 6: Final answer
    x = 514,202.18

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.