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Finding the Third Proportional to 216,837 and 333,711

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Solution

The third proportional to 216,837 and 333,711 is: 513,579.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,837 : 333,711 = 333,711 : x
  2. Step 2: Convert to fraction form
    216,837/333,711 = 333,711/x
  3. Step 3: Cross multiply
    216,837x = 333,711 × 333,711
  4. Step 4: Simplify right side
    216,837x = 111,363,031,521
  5. Step 5: Solve for x
    x = 111,363,031,521/216,837
  6. Step 6: Final answer
    x = 513,579.47

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.