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Finding the Third Proportional to 205,679 and 310,710

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Solution

The third proportional to 205,679 and 310,710 is: 469,375.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,679 : 310,710 = 310,710 : x
  2. Step 2: Convert to fraction form
    205,679/310,710 = 310,710/x
  3. Step 3: Cross multiply
    205,679x = 310,710 × 310,710
  4. Step 4: Simplify right side
    205,679x = 96,540,704,100
  5. Step 5: Solve for x
    x = 96,540,704,100/205,679
  6. Step 6: Final answer
    x = 469,375.60

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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.