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Finding the Third Proportional to 143,818 and 225,116.50

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Solution

The third proportional to 143,818 and 225,116.50 is: 352,372.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,818 : 225,116.50 = 225,116.50 : x
  2. Step 2: Convert to fraction form
    143,818/225,116.50 = 225,116.50/x
  3. Step 3: Cross multiply
    143,818x = 225,116.50 × 225,116.50
  4. Step 4: Simplify right side
    143,818x = 50,677,438,572.25
  5. Step 5: Solve for x
    x = 50,677,438,572.25/143,818
  6. Step 6: Final answer
    x = 352,372.02

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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.