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Finding the Third Proportional to 102,714 and 224,334

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Solution

The third proportional to 102,714 and 224,334 is: 489,959.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,714 : 224,334 = 224,334 : x
  2. Step 2: Convert to fraction form
    102,714/224,334 = 224,334/x
  3. Step 3: Cross multiply
    102,714x = 224,334 × 224,334
  4. Step 4: Simplify right side
    102,714x = 50,325,743,556
  5. Step 5: Solve for x
    x = 50,325,743,556/102,714
  6. Step 6: Final answer
    x = 489,959.92

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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.