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Finding the Third Proportional to 207,697 and 297,011

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Solution

The third proportional to 207,697 and 297,011 is: 424,731.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,697 : 297,011 = 297,011 : x
  2. Step 2: Convert to fraction form
    207,697/297,011 = 297,011/x
  3. Step 3: Cross multiply
    207,697x = 297,011 × 297,011
  4. Step 4: Simplify right side
    207,697x = 88,215,534,121
  5. Step 5: Solve for x
    x = 88,215,534,121/207,697
  6. Step 6: Final answer
    x = 424,731.86

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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.