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Finding the Third Proportional to 154,333.13 and 208,441.69

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Solution

The third proportional to 154,333.13 and 208,441.69 is: 281,520.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,333.13 : 208,441.69 = 208,441.69 : x
  2. Step 2: Convert to fraction form
    154,333.13/208,441.69 = 208,441.69/x
  3. Step 3: Cross multiply
    154,333.13x = 208,441.69 × 208,441.69
  4. Step 4: Simplify right side
    154,333.13x = 43,447,937,087.85
  5. Step 5: Solve for x
    x = 43,447,937,087.85/154,333.13
  6. Step 6: Final answer
    x = 281,520.49

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.