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Finding the Third Proportional to 174,922 and 386,598

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Solution

The third proportional to 174,922 and 386,598 is: 854,426.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,922 : 386,598 = 386,598 : x
  2. Step 2: Convert to fraction form
    174,922/386,598 = 386,598/x
  3. Step 3: Cross multiply
    174,922x = 386,598 × 386,598
  4. Step 4: Simplify right side
    174,922x = 149,458,013,604
  5. Step 5: Solve for x
    x = 149,458,013,604/174,922
  6. Step 6: Final answer
    x = 854,426.62

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.