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Finding the Third Proportional to 205,596 and 317,732

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Solution

The third proportional to 205,596 and 317,732 is: 491,029.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,596 : 317,732 = 317,732 : x
  2. Step 2: Convert to fraction form
    205,596/317,732 = 317,732/x
  3. Step 3: Cross multiply
    205,596x = 317,732 × 317,732
  4. Step 4: Simplify right side
    205,596x = 100,953,623,824
  5. Step 5: Solve for x
    x = 100,953,623,824/205,596
  6. Step 6: Final answer
    x = 491,029.12

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.