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Finding the Third Proportional to 205,881.75 and 328,718.25

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Solution

The third proportional to 205,881.75 and 328,718.25 is: 524,843.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,881.75 : 328,718.25 = 328,718.25 : x
  2. Step 2: Convert to fraction form
    205,881.75/328,718.25 = 328,718.25/x
  3. Step 3: Cross multiply
    205,881.75x = 328,718.25 × 328,718.25
  4. Step 4: Simplify right side
    205,881.75x = 108,055,687,883.06
  5. Step 5: Solve for x
    x = 108,055,687,883.06/205,881.75
  6. Step 6: Final answer
    x = 524,843.45

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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.