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Finding the Third Proportional to 225,797.50 and 332,459

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Solution

The third proportional to 225,797.50 and 332,459 is: 489,504.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,797.50 : 332,459 = 332,459 : x
  2. Step 2: Convert to fraction form
    225,797.50/332,459 = 332,459/x
  3. Step 3: Cross multiply
    225,797.50x = 332,459 × 332,459
  4. Step 4: Simplify right side
    225,797.50x = 110,528,986,681
  5. Step 5: Solve for x
    x = 110,528,986,681/225,797.50
  6. Step 6: Final answer
    x = 489,504.92

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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.