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Finding the Third Proportional to 131,008 and 282,933

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Solution

The third proportional to 131,008 and 282,933 is: 611,039.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,008 : 282,933 = 282,933 : x
  2. Step 2: Convert to fraction form
    131,008/282,933 = 282,933/x
  3. Step 3: Cross multiply
    131,008x = 282,933 × 282,933
  4. Step 4: Simplify right side
    131,008x = 80,051,082,489
  5. Step 5: Solve for x
    x = 80,051,082,489/131,008
  6. Step 6: Final answer
    x = 611,039.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.