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Finding the Third Proportional to 169,598 and 368,352

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Solution

The third proportional to 169,598 and 368,352 is: 800,028.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,598 : 368,352 = 368,352 : x
  2. Step 2: Convert to fraction form
    169,598/368,352 = 368,352/x
  3. Step 3: Cross multiply
    169,598x = 368,352 × 368,352
  4. Step 4: Simplify right side
    169,598x = 135,683,195,904
  5. Step 5: Solve for x
    x = 135,683,195,904/169,598
  6. Step 6: Final answer
    x = 800,028.28

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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.