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Finding the Third Proportional to 169,022 and 253,006

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Solution

The third proportional to 169,022 and 253,006 is: 378,720.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,022 : 253,006 = 253,006 : x
  2. Step 2: Convert to fraction form
    169,022/253,006 = 253,006/x
  3. Step 3: Cross multiply
    169,022x = 253,006 × 253,006
  4. Step 4: Simplify right side
    169,022x = 64,012,036,036
  5. Step 5: Solve for x
    x = 64,012,036,036/169,022
  6. Step 6: Final answer
    x = 378,720.14

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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.