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Finding the Third Proportional to 143,838 and 225,148.50

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Solution

The third proportional to 143,838 and 225,148.50 is: 352,423.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,838 : 225,148.50 = 225,148.50 : x
  2. Step 2: Convert to fraction form
    143,838/225,148.50 = 225,148.50/x
  3. Step 3: Cross multiply
    143,838x = 225,148.50 × 225,148.50
  4. Step 4: Simplify right side
    143,838x = 50,691,847,052.25
  5. Step 5: Solve for x
    x = 50,691,847,052.25/143,838
  6. Step 6: Final answer
    x = 352,423.19

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.