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Finding the Third Proportional to 205,966 and 328,934

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Solution

The third proportional to 205,966 and 328,934 is: 525,317.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,966 : 328,934 = 328,934 : x
  2. Step 2: Convert to fraction form
    205,966/328,934 = 328,934/x
  3. Step 3: Cross multiply
    205,966x = 328,934 × 328,934
  4. Step 4: Simplify right side
    205,966x = 108,197,576,356
  5. Step 5: Solve for x
    x = 108,197,576,356/205,966
  6. Step 6: Final answer
    x = 525,317.66

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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.