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Finding the Third Proportional to 205,121 and 310,421

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Solution

The third proportional to 205,121 and 310,421 is: 469,777.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,121 : 310,421 = 310,421 : x
  2. Step 2: Convert to fraction form
    205,121/310,421 = 310,421/x
  3. Step 3: Cross multiply
    205,121x = 310,421 × 310,421
  4. Step 4: Simplify right side
    205,121x = 96,361,197,241
  5. Step 5: Solve for x
    x = 96,361,197,241/205,121
  6. Step 6: Final answer
    x = 469,777.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.