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Finding the Third Proportional to 185,280 and 361,344

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Solution

The third proportional to 185,280 and 361,344 is: 704,714.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,280 : 361,344 = 361,344 : x
  2. Step 2: Convert to fraction form
    185,280/361,344 = 361,344/x
  3. Step 3: Cross multiply
    185,280x = 361,344 × 361,344
  4. Step 4: Simplify right side
    185,280x = 130,569,486,336
  5. Step 5: Solve for x
    x = 130,569,486,336/185,280
  6. Step 6: Final answer
    x = 704,714.41

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.