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Finding the Third Proportional to 169,449 and 368,409

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Solution

The third proportional to 169,449 and 368,409 is: 800,979.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,449 : 368,409 = 368,409 : x
  2. Step 2: Convert to fraction form
    169,449/368,409 = 368,409/x
  3. Step 3: Cross multiply
    169,449x = 368,409 × 368,409
  4. Step 4: Simplify right side
    169,449x = 135,725,191,281
  5. Step 5: Solve for x
    x = 135,725,191,281/169,449
  6. Step 6: Final answer
    x = 800,979.59

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.