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Finding the Third Proportional to 213,962 and 299,117

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Solution

The third proportional to 213,962 and 299,117 is: 418,162.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,962 : 299,117 = 299,117 : x
  2. Step 2: Convert to fraction form
    213,962/299,117 = 299,117/x
  3. Step 3: Cross multiply
    213,962x = 299,117 × 299,117
  4. Step 4: Simplify right side
    213,962x = 89,470,979,689
  5. Step 5: Solve for x
    x = 89,470,979,689/213,962
  6. Step 6: Final answer
    x = 418,162.94

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.