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Finding the Third Proportional to 282,168 and 386,964

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Solution

The third proportional to 282,168 and 386,964 is: 530,680.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,168 : 386,964 = 386,964 : x
  2. Step 2: Convert to fraction form
    282,168/386,964 = 386,964/x
  3. Step 3: Cross multiply
    282,168x = 386,964 × 386,964
  4. Step 4: Simplify right side
    282,168x = 149,741,137,296
  5. Step 5: Solve for x
    x = 149,741,137,296/282,168
  6. Step 6: Final answer
    x = 530,680.79

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.