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Finding the Third Proportional to 205,674 and 310,701

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Solution

The third proportional to 205,674 and 310,701 is: 469,359.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,674 : 310,701 = 310,701 : x
  2. Step 2: Convert to fraction form
    205,674/310,701 = 310,701/x
  3. Step 3: Cross multiply
    205,674x = 310,701 × 310,701
  4. Step 4: Simplify right side
    205,674x = 96,535,111,401
  5. Step 5: Solve for x
    x = 96,535,111,401/205,674
  6. Step 6: Final answer
    x = 469,359.82

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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.