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Finding the Third Proportional to 131,226.19 and 203,582.81

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Solution

The third proportional to 131,226.19 and 203,582.81 is: 315,836.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,226.19 : 203,582.81 = 203,582.81 : x
  2. Step 2: Convert to fraction form
    131,226.19/203,582.81 = 203,582.81/x
  3. Step 3: Cross multiply
    131,226.19x = 203,582.81 × 203,582.81
  4. Step 4: Simplify right side
    131,226.19x = 41,445,961,545.41
  5. Step 5: Solve for x
    x = 41,445,961,545.41/131,226.19
  6. Step 6: Final answer
    x = 315,836.06

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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.