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Finding the Third Proportional to 131,305.22 and 205,762.78

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Solution

The third proportional to 131,305.22 and 205,762.78 is: 322,442.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,305.22 : 205,762.78 = 205,762.78 : x
  2. Step 2: Convert to fraction form
    131,305.22/205,762.78 = 205,762.78/x
  3. Step 3: Cross multiply
    131,305.22x = 205,762.78 × 205,762.78
  4. Step 4: Simplify right side
    131,305.22x = 42,338,322,147.74
  5. Step 5: Solve for x
    x = 42,338,322,147.74/131,305.22
  6. Step 6: Final answer
    x = 322,442.04

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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.