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Finding the Third Proportional to 137,445.50 and 302,850

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Solution

The third proportional to 137,445.50 and 302,850 is: 667,305.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,445.50 : 302,850 = 302,850 : x
  2. Step 2: Convert to fraction form
    137,445.50/302,850 = 302,850/x
  3. Step 3: Cross multiply
    137,445.50x = 302,850 × 302,850
  4. Step 4: Simplify right side
    137,445.50x = 91,718,122,500
  5. Step 5: Solve for x
    x = 91,718,122,500/137,445.50
  6. Step 6: Final answer
    x = 667,305.39

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.