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Finding the Third Proportional to 226,158.75 and 350,416.13

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Solution

The third proportional to 226,158.75 and 350,416.13 is: 542,943.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,158.75 : 350,416.13 = 350,416.13 : x
  2. Step 2: Convert to fraction form
    226,158.75/350,416.13 = 350,416.13/x
  3. Step 3: Cross multiply
    226,158.75x = 350,416.13 × 350,416.13
  4. Step 4: Simplify right side
    226,158.75x = 122,791,460,660.02
  5. Step 5: Solve for x
    x = 122,791,460,660.02/226,158.75
  6. Step 6: Final answer
    x = 542,943.67

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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.