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Finding the Third Proportional to 150,616.50 and 233,217

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Solution

The third proportional to 150,616.50 and 233,217 is: 361,116.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,616.50 : 233,217 = 233,217 : x
  2. Step 2: Convert to fraction form
    150,616.50/233,217 = 233,217/x
  3. Step 3: Cross multiply
    150,616.50x = 233,217 × 233,217
  4. Step 4: Simplify right side
    150,616.50x = 54,390,169,089
  5. Step 5: Solve for x
    x = 54,390,169,089/150,616.50
  6. Step 6: Final answer
    x = 361,116.94

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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.