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Finding the Third Proportional to 131,228.44 and 203,585.91

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Solution

The third proportional to 131,228.44 and 203,585.91 is: 315,840.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,228.44 : 203,585.91 = 203,585.91 : x
  2. Step 2: Convert to fraction form
    131,228.44/203,585.91 = 203,585.91/x
  3. Step 3: Cross multiply
    131,228.44x = 203,585.91 × 203,585.91
  4. Step 4: Simplify right side
    131,228.44x = 41,447,221,223.63
  5. Step 5: Solve for x
    x = 41,447,221,223.63/131,228.44
  6. Step 6: Final answer
    x = 315,840.24

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.