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Finding the Third Proportional to 207,943 and 297,367

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Solution

The third proportional to 207,943 and 297,367 is: 425,246.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,943 : 297,367 = 297,367 : x
  2. Step 2: Convert to fraction form
    207,943/297,367 = 297,367/x
  3. Step 3: Cross multiply
    207,943x = 297,367 × 297,367
  4. Step 4: Simplify right side
    207,943x = 88,427,132,689
  5. Step 5: Solve for x
    x = 88,427,132,689/207,943
  6. Step 6: Final answer
    x = 425,246.98

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.