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Finding the Third Proportional to 217,319.06 and 332,435.81

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Solution

The third proportional to 217,319.06 and 332,435.81 is: 508,531.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,319.06 : 332,435.81 = 332,435.81 : x
  2. Step 2: Convert to fraction form
    217,319.06/332,435.81 = 332,435.81/x
  3. Step 3: Cross multiply
    217,319.06x = 332,435.81 × 332,435.81
  4. Step 4: Simplify right side
    217,319.06x = 110,513,569,432.54
  5. Step 5: Solve for x
    x = 110,513,569,432.54/217,319.06
  6. Step 6: Final answer
    x = 508,531.41

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.