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Finding the Third Proportional to 151,297 and 219,850

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Solution

The third proportional to 151,297 and 219,850 is: 319,464.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,297 : 219,850 = 219,850 : x
  2. Step 2: Convert to fraction form
    151,297/219,850 = 219,850/x
  3. Step 3: Cross multiply
    151,297x = 219,850 × 219,850
  4. Step 4: Simplify right side
    151,297x = 48,334,022,500
  5. Step 5: Solve for x
    x = 48,334,022,500/151,297
  6. Step 6: Final answer
    x = 319,464.51

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.