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Finding the Third Proportional to 217,324.13 and 332,443.13

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Solution

The third proportional to 217,324.13 and 332,443.13 is: 508,541.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,324.13 : 332,443.13 = 332,443.13 : x
  2. Step 2: Convert to fraction form
    217,324.13/332,443.13 = 332,443.13/x
  3. Step 3: Cross multiply
    217,324.13x = 332,443.13 × 332,443.13
  4. Step 4: Simplify right side
    217,324.13x = 110,518,431,359.77
  5. Step 5: Solve for x
    x = 110,518,431,359.77/217,324.13
  6. Step 6: Final answer
    x = 508,541.94

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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.