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Finding the Third Proportional to 137,349.75 and 285,226

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Solution

The third proportional to 137,349.75 and 285,226 is: 592,311.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,349.75 : 285,226 = 285,226 : x
  2. Step 2: Convert to fraction form
    137,349.75/285,226 = 285,226/x
  3. Step 3: Cross multiply
    137,349.75x = 285,226 × 285,226
  4. Step 4: Simplify right side
    137,349.75x = 81,353,871,076
  5. Step 5: Solve for x
    x = 81,353,871,076/137,349.75
  6. Step 6: Final answer
    x = 592,311.75

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.