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Finding the Third Proportional to 225,875 and 332,566

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Solution

The third proportional to 225,875 and 332,566 is: 489,651.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,875 : 332,566 = 332,566 : x
  2. Step 2: Convert to fraction form
    225,875/332,566 = 332,566/x
  3. Step 3: Cross multiply
    225,875x = 332,566 × 332,566
  4. Step 4: Simplify right side
    225,875x = 110,600,144,356
  5. Step 5: Solve for x
    x = 110,600,144,356/225,875
  6. Step 6: Final answer
    x = 489,651.99

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.