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Finding the Third Proportional to 150,196.50 and 233,911.13

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Solution

The third proportional to 150,196.50 and 233,911.13 is: 364,285.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,196.50 : 233,911.13 = 233,911.13 : x
  2. Step 2: Convert to fraction form
    150,196.50/233,911.13 = 233,911.13/x
  3. Step 3: Cross multiply
    150,196.50x = 233,911.13 × 233,911.13
  4. Step 4: Simplify right side
    150,196.50x = 54,714,414,398.77
  5. Step 5: Solve for x
    x = 54,714,414,398.77/150,196.50
  6. Step 6: Final answer
    x = 364,285.55

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.