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Finding the Third Proportional to 169,398 and 368,319

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Solution

The third proportional to 169,398 and 368,319 is: 800,829.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,398 : 368,319 = 368,319 : x
  2. Step 2: Convert to fraction form
    169,398/368,319 = 368,319/x
  3. Step 3: Cross multiply
    169,398x = 368,319 × 368,319
  4. Step 4: Simplify right side
    169,398x = 135,658,885,761
  5. Step 5: Solve for x
    x = 135,658,885,761/169,398
  6. Step 6: Final answer
    x = 800,829.32

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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.