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Finding the Third Proportional to 138,683 and 203,088

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Solution

The third proportional to 138,683 and 203,088 is: 297,402.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,683 : 203,088 = 203,088 : x
  2. Step 2: Convert to fraction form
    138,683/203,088 = 203,088/x
  3. Step 3: Cross multiply
    138,683x = 203,088 × 203,088
  4. Step 4: Simplify right side
    138,683x = 41,244,735,744
  5. Step 5: Solve for x
    x = 41,244,735,744/138,683
  6. Step 6: Final answer
    x = 297,402.97

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.