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Finding the Third Proportional to 150,580 and 221,714

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Solution

The third proportional to 150,580 and 221,714 is: 326,451.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,580 : 221,714 = 221,714 : x
  2. Step 2: Convert to fraction form
    150,580/221,714 = 221,714/x
  3. Step 3: Cross multiply
    150,580x = 221,714 × 221,714
  4. Step 4: Simplify right side
    150,580x = 49,157,097,796
  5. Step 5: Solve for x
    x = 49,157,097,796/150,580
  6. Step 6: Final answer
    x = 326,451.71

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.