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Finding the Third Proportional to 217,262 and 345,711

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Solution

The third proportional to 217,262 and 345,711 is: 550,101.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,262 : 345,711 = 345,711 : x
  2. Step 2: Convert to fraction form
    217,262/345,711 = 345,711/x
  3. Step 3: Cross multiply
    217,262x = 345,711 × 345,711
  4. Step 4: Simplify right side
    217,262x = 119,516,095,521
  5. Step 5: Solve for x
    x = 119,516,095,521/217,262
  6. Step 6: Final answer
    x = 550,101.24

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.