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Finding the Third Proportional to 217,230.61 and 454,323.62

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Solution

The third proportional to 217,230.61 and 454,323.62 is: 950,188.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,230.61 : 454,323.62 = 454,323.62 : x
  2. Step 2: Convert to fraction form
    217,230.61/454,323.62 = 454,323.62/x
  3. Step 3: Cross multiply
    217,230.61x = 454,323.62 × 454,323.62
  4. Step 4: Simplify right side
    217,230.61x = 206,409,952,683.74
  5. Step 5: Solve for x
    x = 206,409,952,683.74/217,230.61
  6. Step 6: Final answer
    x = 950,188.16

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.