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Finding the Third Proportional to 133,948 and 202,644

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Solution

The third proportional to 133,948 and 202,644 is: 306,571.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,948 : 202,644 = 202,644 : x
  2. Step 2: Convert to fraction form
    133,948/202,644 = 202,644/x
  3. Step 3: Cross multiply
    133,948x = 202,644 × 202,644
  4. Step 4: Simplify right side
    133,948x = 41,064,590,736
  5. Step 5: Solve for x
    x = 41,064,590,736/133,948
  6. Step 6: Final answer
    x = 306,571.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.