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Finding the Third Proportional to 179,435 and 386,518

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Solution

The third proportional to 179,435 and 386,518 is: 832,592.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,435 : 386,518 = 386,518 : x
  2. Step 2: Convert to fraction form
    179,435/386,518 = 386,518/x
  3. Step 3: Cross multiply
    179,435x = 386,518 × 386,518
  4. Step 4: Simplify right side
    179,435x = 149,396,164,324
  5. Step 5: Solve for x
    x = 149,396,164,324/179,435
  6. Step 6: Final answer
    x = 832,592.10

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.