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Finding the Third Proportional to 169,868 and 254,844

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Solution

The third proportional to 169,868 and 254,844 is: 382,329.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,868 : 254,844 = 254,844 : x
  2. Step 2: Convert to fraction form
    169,868/254,844 = 254,844/x
  3. Step 3: Cross multiply
    169,868x = 254,844 × 254,844
  4. Step 4: Simplify right side
    169,868x = 64,945,464,336
  5. Step 5: Solve for x
    x = 64,945,464,336/169,868
  6. Step 6: Final answer
    x = 382,329.01

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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.