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Finding the Third Proportional to 150,495.75 and 233,767.13

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Solution

The third proportional to 150,495.75 and 233,767.13 is: 363,113.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,495.75 : 233,767.13 = 233,767.13 : x
  2. Step 2: Convert to fraction form
    150,495.75/233,767.13 = 233,767.13/x
  3. Step 3: Cross multiply
    150,495.75x = 233,767.13 × 233,767.13
  4. Step 4: Simplify right side
    150,495.75x = 54,647,068,730.77
  5. Step 5: Solve for x
    x = 54,647,068,730.77/150,495.75
  6. Step 6: Final answer
    x = 363,113.70

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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.