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Finding the Third Proportional to 155,449.50 and 237,684

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Solution

The third proportional to 155,449.50 and 237,684 is: 363,421.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,449.50 : 237,684 = 237,684 : x
  2. Step 2: Convert to fraction form
    155,449.50/237,684 = 237,684/x
  3. Step 3: Cross multiply
    155,449.50x = 237,684 × 237,684
  4. Step 4: Simplify right side
    155,449.50x = 56,493,683,856
  5. Step 5: Solve for x
    x = 56,493,683,856/155,449.50
  6. Step 6: Final answer
    x = 363,421.46

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.