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Finding the Third Proportional to 205,678 and 310,702

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Solution

The third proportional to 205,678 and 310,702 is: 469,353.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,678 : 310,702 = 310,702 : x
  2. Step 2: Convert to fraction form
    205,678/310,702 = 310,702/x
  3. Step 3: Cross multiply
    205,678x = 310,702 × 310,702
  4. Step 4: Simplify right side
    205,678x = 96,535,732,804
  5. Step 5: Solve for x
    x = 96,535,732,804/205,678
  6. Step 6: Final answer
    x = 469,353.71

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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.