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Finding the Third Proportional to 213,695.91 and 329,795.81

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Solution

The third proportional to 213,695.91 and 329,795.81 is: 508,972.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,695.91 : 329,795.81 = 329,795.81 : x
  2. Step 2: Convert to fraction form
    213,695.91/329,795.81 = 329,795.81/x
  3. Step 3: Cross multiply
    213,695.91x = 329,795.81 × 329,795.81
  4. Step 4: Simplify right side
    213,695.91x = 108,765,277,942.54
  5. Step 5: Solve for x
    x = 108,765,277,942.54/213,695.91
  6. Step 6: Final answer
    x = 508,972.21

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.