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Finding the Third Proportional to 207,964 and 297,398

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Solution

The third proportional to 207,964 and 297,398 is: 425,292.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,964 : 297,398 = 297,398 : x
  2. Step 2: Convert to fraction form
    207,964/297,398 = 297,398/x
  3. Step 3: Cross multiply
    207,964x = 297,398 × 297,398
  4. Step 4: Simplify right side
    207,964x = 88,445,570,404
  5. Step 5: Solve for x
    x = 88,445,570,404/207,964
  6. Step 6: Final answer
    x = 425,292.70

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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.