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Finding the Third Proportional to 171,590.06 and 260,883.28

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Solution

The third proportional to 171,590.06 and 260,883.28 is: 396,643.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,590.06 : 260,883.28 = 260,883.28 : x
  2. Step 2: Convert to fraction form
    171,590.06/260,883.28 = 260,883.28/x
  3. Step 3: Cross multiply
    171,590.06x = 260,883.28 × 260,883.28
  4. Step 4: Simplify right side
    171,590.06x = 68,060,086,435.77
  5. Step 5: Solve for x
    x = 68,060,086,435.77/171,590.06
  6. Step 6: Final answer
    x = 396,643.52

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.