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Finding the Third Proportional to 131,306.06 and 205,764.05

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Solution

The third proportional to 131,306.06 and 205,764.05 is: 322,443.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,306.06 : 205,764.05 = 205,764.05 : x
  2. Step 2: Convert to fraction form
    131,306.06/205,764.05 = 205,764.05/x
  3. Step 3: Cross multiply
    131,306.06x = 205,764.05 × 205,764.05
  4. Step 4: Simplify right side
    131,306.06x = 42,338,842,986.38
  5. Step 5: Solve for x
    x = 42,338,842,986.38/131,306.06
  6. Step 6: Final answer
    x = 322,443.93

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.