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Finding the Third Proportional to 95,974 and 206,528

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Solution

The third proportional to 95,974 and 206,528 is: 444,430.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,974 : 206,528 = 206,528 : x
  2. Step 2: Convert to fraction form
    95,974/206,528 = 206,528/x
  3. Step 3: Cross multiply
    95,974x = 206,528 × 206,528
  4. Step 4: Simplify right side
    95,974x = 42,653,814,784
  5. Step 5: Solve for x
    x = 42,653,814,784/95,974
  6. Step 6: Final answer
    x = 444,430.94

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.