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Finding the Third Proportional to 205,596 and 328,074

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Solution

The third proportional to 205,596 and 328,074 is: 523,514.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,596 : 328,074 = 328,074 : x
  2. Step 2: Convert to fraction form
    205,596/328,074 = 328,074/x
  3. Step 3: Cross multiply
    205,596x = 328,074 × 328,074
  4. Step 4: Simplify right side
    205,596x = 107,632,549,476
  5. Step 5: Solve for x
    x = 107,632,549,476/205,596
  6. Step 6: Final answer
    x = 523,514.80

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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.