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Finding the Third Proportional to 169,158 and 367,473

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Solution

The third proportional to 169,158 and 367,473 is: 798,285.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,158 : 367,473 = 367,473 : x
  2. Step 2: Convert to fraction form
    169,158/367,473 = 367,473/x
  3. Step 3: Cross multiply
    169,158x = 367,473 × 367,473
  4. Step 4: Simplify right side
    169,158x = 135,036,405,729
  5. Step 5: Solve for x
    x = 135,036,405,729/169,158
  6. Step 6: Final answer
    x = 798,285.66

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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.