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Finding the Third Proportional to 150,984 and 233,481.75

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Solution

The third proportional to 150,984 and 233,481.75 is: 361,056.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,984 : 233,481.75 = 233,481.75 : x
  2. Step 2: Convert to fraction form
    150,984/233,481.75 = 233,481.75/x
  3. Step 3: Cross multiply
    150,984x = 233,481.75 × 233,481.75
  4. Step 4: Simplify right side
    150,984x = 54,513,727,583.06
  5. Step 5: Solve for x
    x = 54,513,727,583.06/150,984
  6. Step 6: Final answer
    x = 361,056.32

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.