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Finding the Third Proportional to 131,257.13 and 203,622.19

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Solution

The third proportional to 131,257.13 and 203,622.19 is: 315,883.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,257.13 : 203,622.19 = 203,622.19 : x
  2. Step 2: Convert to fraction form
    131,257.13/203,622.19 = 203,622.19/x
  3. Step 3: Cross multiply
    131,257.13x = 203,622.19 × 203,622.19
  4. Step 4: Simplify right side
    131,257.13x = 41,461,995,242.29
  5. Step 5: Solve for x
    x = 41,461,995,242.29/131,257.13
  6. Step 6: Final answer
    x = 315,883.77

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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.