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Finding the Third Proportional to 131,298 and 286,353

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Solution

The third proportional to 131,298 and 286,353 is: 624,518.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,298 : 286,353 = 286,353 : x
  2. Step 2: Convert to fraction form
    131,298/286,353 = 286,353/x
  3. Step 3: Cross multiply
    131,298x = 286,353 × 286,353
  4. Step 4: Simplify right side
    131,298x = 81,998,040,609
  5. Step 5: Solve for x
    x = 81,998,040,609/131,298
  6. Step 6: Final answer
    x = 624,518.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.