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Finding the Third Proportional to 225,871.50 and 332,550

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Solution

The third proportional to 225,871.50 and 332,550 is: 489,612.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,871.50 : 332,550 = 332,550 : x
  2. Step 2: Convert to fraction form
    225,871.50/332,550 = 332,550/x
  3. Step 3: Cross multiply
    225,871.50x = 332,550 × 332,550
  4. Step 4: Simplify right side
    225,871.50x = 110,589,502,500
  5. Step 5: Solve for x
    x = 110,589,502,500/225,871.50
  6. Step 6: Final answer
    x = 489,612.47

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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.