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Finding the Third Proportional to 225,141 and 342,353.25

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Solution

The third proportional to 225,141 and 342,353.25 is: 520,588.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,141 : 342,353.25 = 342,353.25 : x
  2. Step 2: Convert to fraction form
    225,141/342,353.25 = 342,353.25/x
  3. Step 3: Cross multiply
    225,141x = 342,353.25 × 342,353.25
  4. Step 4: Simplify right side
    225,141x = 117,205,747,785.56
  5. Step 5: Solve for x
    x = 117,205,747,785.56/225,141
  6. Step 6: Final answer
    x = 520,588.20

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