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Finding the Third Proportional to 207,526 and 312,126

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Solution

The third proportional to 207,526 and 312,126 is: 469,447.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,526 : 312,126 = 312,126 : x
  2. Step 2: Convert to fraction form
    207,526/312,126 = 312,126/x
  3. Step 3: Cross multiply
    207,526x = 312,126 × 312,126
  4. Step 4: Simplify right side
    207,526x = 97,422,639,876
  5. Step 5: Solve for x
    x = 97,422,639,876/207,526
  6. Step 6: Final answer
    x = 469,447.88

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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.