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Finding the Third Proportional to 205,598 and 322,596

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Solution

The third proportional to 205,598 and 322,596 is: 506,173.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,598 : 322,596 = 322,596 : x
  2. Step 2: Convert to fraction form
    205,598/322,596 = 322,596/x
  3. Step 3: Cross multiply
    205,598x = 322,596 × 322,596
  4. Step 4: Simplify right side
    205,598x = 104,068,179,216
  5. Step 5: Solve for x
    x = 104,068,179,216/205,598
  6. Step 6: Final answer
    x = 506,173.11

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.