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Finding the Third Proportional to 171,756.38 and 367,098.38

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Solution

The third proportional to 171,756.38 and 367,098.38 is: 784,606.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,756.38 : 367,098.38 = 367,098.38 : x
  2. Step 2: Convert to fraction form
    171,756.38/367,098.38 = 367,098.38/x
  3. Step 3: Cross multiply
    171,756.38x = 367,098.38 × 367,098.38
  4. Step 4: Simplify right side
    171,756.38x = 134,761,216,927.64
  5. Step 5: Solve for x
    x = 134,761,216,927.64/171,756.38
  6. Step 6: Final answer
    x = 784,606.78

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.