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Finding the Third Proportional to 200,258 and 279,972

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Solution

The third proportional to 200,258 and 279,972 is: 391,416.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,258 : 279,972 = 279,972 : x
  2. Step 2: Convert to fraction form
    200,258/279,972 = 279,972/x
  3. Step 3: Cross multiply
    200,258x = 279,972 × 279,972
  4. Step 4: Simplify right side
    200,258x = 78,384,320,784
  5. Step 5: Solve for x
    x = 78,384,320,784/200,258
  6. Step 6: Final answer
    x = 391,416.68

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.