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Finding the Third Proportional to 207,322 and 310,914

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Solution

The third proportional to 207,322 and 310,914 is: 466,267.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,322 : 310,914 = 310,914 : x
  2. Step 2: Convert to fraction form
    207,322/310,914 = 310,914/x
  3. Step 3: Cross multiply
    207,322x = 310,914 × 310,914
  4. Step 4: Simplify right side
    207,322x = 96,667,515,396
  5. Step 5: Solve for x
    x = 96,667,515,396/207,322
  6. Step 6: Final answer
    x = 466,267.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.