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Finding the Third Proportional to 204,424 and 286,459

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Solution

The third proportional to 204,424 and 286,459 is: 401,414.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,424 : 286,459 = 286,459 : x
  2. Step 2: Convert to fraction form
    204,424/286,459 = 286,459/x
  3. Step 3: Cross multiply
    204,424x = 286,459 × 286,459
  4. Step 4: Simplify right side
    204,424x = 82,058,758,681
  5. Step 5: Solve for x
    x = 82,058,758,681/204,424
  6. Step 6: Final answer
    x = 401,414.50

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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.