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Finding the Third Proportional to 183,499.88 and 283,599.56

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Solution

The third proportional to 183,499.88 and 283,599.56 is: 438,303.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,499.88 : 283,599.56 = 283,599.56 : x
  2. Step 2: Convert to fraction form
    183,499.88/283,599.56 = 283,599.56/x
  3. Step 3: Cross multiply
    183,499.88x = 283,599.56 × 283,599.56
  4. Step 4: Simplify right side
    183,499.88x = 80,428,711,850.19
  5. Step 5: Solve for x
    x = 80,428,711,850.19/183,499.88
  6. Step 6: Final answer
    x = 438,303.91

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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.