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Finding the Third Proportional to 183,497.63 and 283,596.19

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Solution

The third proportional to 183,497.63 and 283,596.19 is: 438,298.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,497.63 : 283,596.19 = 283,596.19 : x
  2. Step 2: Convert to fraction form
    183,497.63/283,596.19 = 283,596.19/x
  3. Step 3: Cross multiply
    183,497.63x = 283,596.19 × 283,596.19
  4. Step 4: Simplify right side
    183,497.63x = 80,426,797,564.54
  5. Step 5: Solve for x
    x = 80,426,797,564.54/183,497.63
  6. Step 6: Final answer
    x = 438,298.85

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.