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Finding the Third Proportional to 112,226 and 240,214

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Solution

The third proportional to 112,226 and 240,214 is: 514,165.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,226 : 240,214 = 240,214 : x
  2. Step 2: Convert to fraction form
    112,226/240,214 = 240,214/x
  3. Step 3: Cross multiply
    112,226x = 240,214 × 240,214
  4. Step 4: Simplify right side
    112,226x = 57,702,765,796
  5. Step 5: Solve for x
    x = 57,702,765,796/112,226
  6. Step 6: Final answer
    x = 514,165.75

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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.