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Finding the Third Proportional to 205,302 and 329,034

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Solution

The third proportional to 205,302 and 329,034 is: 527,337.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,302 : 329,034 = 329,034 : x
  2. Step 2: Convert to fraction form
    205,302/329,034 = 329,034/x
  3. Step 3: Cross multiply
    205,302x = 329,034 × 329,034
  4. Step 4: Simplify right side
    205,302x = 108,263,373,156
  5. Step 5: Solve for x
    x = 108,263,373,156/205,302
  6. Step 6: Final answer
    x = 527,337.16

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.