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Finding the Third Proportional to 207,657 and 325,314

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Solution

The third proportional to 207,657 and 325,314 is: 509,634.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,657 : 325,314 = 325,314 : x
  2. Step 2: Convert to fraction form
    207,657/325,314 = 325,314/x
  3. Step 3: Cross multiply
    207,657x = 325,314 × 325,314
  4. Step 4: Simplify right side
    207,657x = 105,829,198,596
  5. Step 5: Solve for x
    x = 105,829,198,596/207,657
  6. Step 6: Final answer
    x = 509,634.63

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.