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Finding the Third Proportional to 134,505 and 202,338

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Solution

The third proportional to 134,505 and 202,338 is: 304,380.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,505 : 202,338 = 202,338 : x
  2. Step 2: Convert to fraction form
    134,505/202,338 = 202,338/x
  3. Step 3: Cross multiply
    134,505x = 202,338 × 202,338
  4. Step 4: Simplify right side
    134,505x = 40,940,666,244
  5. Step 5: Solve for x
    x = 40,940,666,244/134,505
  6. Step 6: Final answer
    x = 304,380.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.