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Finding the Third Proportional to 174,926 and 367,477

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Solution

The third proportional to 174,926 and 367,477 is: 771,979.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,926 : 367,477 = 367,477 : x
  2. Step 2: Convert to fraction form
    174,926/367,477 = 367,477/x
  3. Step 3: Cross multiply
    174,926x = 367,477 × 367,477
  4. Step 4: Simplify right side
    174,926x = 135,039,345,529
  5. Step 5: Solve for x
    x = 135,039,345,529/174,926
  6. Step 6: Final answer
    x = 771,979.84

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.