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Finding the Third Proportional to 205,153.50 and 329,626.50

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Solution

The third proportional to 205,153.50 and 329,626.50 is: 529,621.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,153.50 : 329,626.50 = 329,626.50 : x
  2. Step 2: Convert to fraction form
    205,153.50/329,626.50 = 329,626.50/x
  3. Step 3: Cross multiply
    205,153.50x = 329,626.50 × 329,626.50
  4. Step 4: Simplify right side
    205,153.50x = 108,653,629,502.25
  5. Step 5: Solve for x
    x = 108,653,629,502.25/205,153.50
  6. Step 6: Final answer
    x = 529,621.13

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.