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Finding the Third Proportional to 73,670 and 159,784

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Solution

The third proportional to 73,670 and 159,784 is: 346,557.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,670 : 159,784 = 159,784 : x
  2. Step 2: Convert to fraction form
    73,670/159,784 = 159,784/x
  3. Step 3: Cross multiply
    73,670x = 159,784 × 159,784
  4. Step 4: Simplify right side
    73,670x = 25,530,926,656
  5. Step 5: Solve for x
    x = 25,530,926,656/73,670
  6. Step 6: Final answer
    x = 346,557.98

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.