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Finding the Third Proportional to 207,948 and 297,376

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Solution

The third proportional to 207,948 and 297,376 is: 425,262.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,948 : 297,376 = 297,376 : x
  2. Step 2: Convert to fraction form
    207,948/297,376 = 297,376/x
  3. Step 3: Cross multiply
    207,948x = 297,376 × 297,376
  4. Step 4: Simplify right side
    207,948x = 88,432,485,376
  5. Step 5: Solve for x
    x = 88,432,485,376/207,948
  6. Step 6: Final answer
    x = 425,262.50

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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.