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Finding the Third Proportional to 207,249 and 320,037

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Solution

The third proportional to 207,249 and 320,037 is: 494,205.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,249 : 320,037 = 320,037 : x
  2. Step 2: Convert to fraction form
    207,249/320,037 = 320,037/x
  3. Step 3: Cross multiply
    207,249x = 320,037 × 320,037
  4. Step 4: Simplify right side
    207,249x = 102,423,681,369
  5. Step 5: Solve for x
    x = 102,423,681,369/207,249
  6. Step 6: Final answer
    x = 494,205.91

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.