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Finding the Third Proportional to 205,073 and 321,050

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Solution

The third proportional to 205,073 and 321,050 is: 502,616.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,073 : 321,050 = 321,050 : x
  2. Step 2: Convert to fraction form
    205,073/321,050 = 321,050/x
  3. Step 3: Cross multiply
    205,073x = 321,050 × 321,050
  4. Step 4: Simplify right side
    205,073x = 103,073,102,500
  5. Step 5: Solve for x
    x = 103,073,102,500/205,073
  6. Step 6: Final answer
    x = 502,616.64

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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.