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Finding the Third Proportional to 159,084 and 349,272

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Solution

The third proportional to 159,084 and 349,272 is: 766,833.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,084 : 349,272 = 349,272 : x
  2. Step 2: Convert to fraction form
    159,084/349,272 = 349,272/x
  3. Step 3: Cross multiply
    159,084x = 349,272 × 349,272
  4. Step 4: Simplify right side
    159,084x = 121,990,929,984
  5. Step 5: Solve for x
    x = 121,990,929,984/159,084
  6. Step 6: Final answer
    x = 766,833.43

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.