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Finding the Third Proportional to 133,905 and 202,230

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Solution

The third proportional to 133,905 and 202,230 is: 305,417.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,905 : 202,230 = 202,230 : x
  2. Step 2: Convert to fraction form
    133,905/202,230 = 202,230/x
  3. Step 3: Cross multiply
    133,905x = 202,230 × 202,230
  4. Step 4: Simplify right side
    133,905x = 40,896,972,900
  5. Step 5: Solve for x
    x = 40,896,972,900/133,905
  6. Step 6: Final answer
    x = 305,417.82

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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.