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Finding the Third Proportional to 179,732 and 384,706

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Solution

The third proportional to 179,732 and 384,706 is: 823,441.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,732 : 384,706 = 384,706 : x
  2. Step 2: Convert to fraction form
    179,732/384,706 = 384,706/x
  3. Step 3: Cross multiply
    179,732x = 384,706 × 384,706
  4. Step 4: Simplify right side
    179,732x = 147,998,706,436
  5. Step 5: Solve for x
    x = 147,998,706,436/179,732
  6. Step 6: Final answer
    x = 823,441.05

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.