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Finding the Third Proportional to 146,250 and 221,175

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Solution

The third proportional to 146,250 and 221,175 is: 334,484.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,250 : 221,175 = 221,175 : x
  2. Step 2: Convert to fraction form
    146,250/221,175 = 221,175/x
  3. Step 3: Cross multiply
    146,250x = 221,175 × 221,175
  4. Step 4: Simplify right side
    146,250x = 48,918,380,625
  5. Step 5: Solve for x
    x = 48,918,380,625/146,250
  6. Step 6: Final answer
    x = 334,484.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.