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Finding the Third Proportional to 169,496 and 368,154

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Solution

The third proportional to 169,496 and 368,154 is: 799,649.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,496 : 368,154 = 368,154 : x
  2. Step 2: Convert to fraction form
    169,496/368,154 = 368,154/x
  3. Step 3: Cross multiply
    169,496x = 368,154 × 368,154
  4. Step 4: Simplify right side
    169,496x = 135,537,367,716
  5. Step 5: Solve for x
    x = 135,537,367,716/169,496
  6. Step 6: Final answer
    x = 799,649.36

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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.