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Finding the Third Proportional to 205,266 and 326,871

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Solution

The third proportional to 205,266 and 326,871 is: 520,518.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,266 : 326,871 = 326,871 : x
  2. Step 2: Convert to fraction form
    205,266/326,871 = 326,871/x
  3. Step 3: Cross multiply
    205,266x = 326,871 × 326,871
  4. Step 4: Simplify right side
    205,266x = 106,844,650,641
  5. Step 5: Solve for x
    x = 106,844,650,641/205,266
  6. Step 6: Final answer
    x = 520,518.01

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.