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Finding the Third Proportional to 205,304 and 329,037

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Solution

The third proportional to 205,304 and 329,037 is: 527,341.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,304 : 329,037 = 329,037 : x
  2. Step 2: Convert to fraction form
    205,304/329,037 = 329,037/x
  3. Step 3: Cross multiply
    205,304x = 329,037 × 329,037
  4. Step 4: Simplify right side
    205,304x = 108,265,347,369
  5. Step 5: Solve for x
    x = 108,265,347,369/205,304
  6. Step 6: Final answer
    x = 527,341.64

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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.