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Finding the Third Proportional to 109,514 and 238,228

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Solution

The third proportional to 109,514 and 238,228 is: 518,222.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,514 : 238,228 = 238,228 : x
  2. Step 2: Convert to fraction form
    109,514/238,228 = 238,228/x
  3. Step 3: Cross multiply
    109,514x = 238,228 × 238,228
  4. Step 4: Simplify right side
    109,514x = 56,752,579,984
  5. Step 5: Solve for x
    x = 56,752,579,984/109,514
  6. Step 6: Final answer
    x = 518,222.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.