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Finding the Third Proportional to 207,936 and 296,352

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Solution

The third proportional to 207,936 and 296,352 is: 422,363.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,936 : 296,352 = 296,352 : x
  2. Step 2: Convert to fraction form
    207,936/296,352 = 296,352/x
  3. Step 3: Cross multiply
    207,936x = 296,352 × 296,352
  4. Step 4: Simplify right side
    207,936x = 87,824,507,904
  5. Step 5: Solve for x
    x = 87,824,507,904/207,936
  6. Step 6: Final answer
    x = 422,363.17

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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.