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Finding the Third Proportional to 207,967 and 297,403

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Solution

The third proportional to 207,967 and 297,403 is: 425,300.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,967 : 297,403 = 297,403 : x
  2. Step 2: Convert to fraction form
    207,967/297,403 = 297,403/x
  3. Step 3: Cross multiply
    207,967x = 297,403 × 297,403
  4. Step 4: Simplify right side
    207,967x = 88,448,544,409
  5. Step 5: Solve for x
    x = 88,448,544,409/207,967
  6. Step 6: Final answer
    x = 425,300.86

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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.