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Finding the Third Proportional to 155,400.75 and 233,677.69

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Solution

The third proportional to 155,400.75 and 233,677.69 is: 351,383.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,400.75 : 233,677.69 = 233,677.69 : x
  2. Step 2: Convert to fraction form
    155,400.75/233,677.69 = 233,677.69/x
  3. Step 3: Cross multiply
    155,400.75x = 233,677.69 × 233,677.69
  4. Step 4: Simplify right side
    155,400.75x = 54,605,261,635.35
  5. Step 5: Solve for x
    x = 54,605,261,635.35/155,400.75
  6. Step 6: Final answer
    x = 351,383.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.