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Finding the Third Proportional to 146,207.50 and 220,391

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Solution

The third proportional to 146,207.50 and 220,391 is: 332,214.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,207.50 : 220,391 = 220,391 : x
  2. Step 2: Convert to fraction form
    146,207.50/220,391 = 220,391/x
  3. Step 3: Cross multiply
    146,207.50x = 220,391 × 220,391
  4. Step 4: Simplify right side
    146,207.50x = 48,572,192,881
  5. Step 5: Solve for x
    x = 48,572,192,881/146,207.50
  6. Step 6: Final answer
    x = 332,214.10

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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.