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Finding the Third Proportional to 152,973 and 220,326.75

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Solution

The third proportional to 152,973 and 220,326.75 is: 317,336.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,973 : 220,326.75 = 220,326.75 : x
  2. Step 2: Convert to fraction form
    152,973/220,326.75 = 220,326.75/x
  3. Step 3: Cross multiply
    152,973x = 220,326.75 × 220,326.75
  4. Step 4: Simplify right side
    152,973x = 48,543,876,765.56
  5. Step 5: Solve for x
    x = 48,543,876,765.56/152,973
  6. Step 6: Final answer
    x = 317,336.24

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.