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Finding the Third Proportional to 205,178 and 310,500

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Solution

The third proportional to 205,178 and 310,500 is: 469,885.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,178 : 310,500 = 310,500 : x
  2. Step 2: Convert to fraction form
    205,178/310,500 = 310,500/x
  3. Step 3: Cross multiply
    205,178x = 310,500 × 310,500
  4. Step 4: Simplify right side
    205,178x = 96,410,250,000
  5. Step 5: Solve for x
    x = 96,410,250,000/205,178
  6. Step 6: Final answer
    x = 469,885.90

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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.