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Finding the Third Proportional to 131,302 and 202,783

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Solution

The third proportional to 131,302 and 202,783 is: 313,178.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,302 : 202,783 = 202,783 : x
  2. Step 2: Convert to fraction form
    131,302/202,783 = 202,783/x
  3. Step 3: Cross multiply
    131,302x = 202,783 × 202,783
  4. Step 4: Simplify right side
    131,302x = 41,120,945,089
  5. Step 5: Solve for x
    x = 41,120,945,089/131,302
  6. Step 6: Final answer
    x = 313,178.36

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.