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Finding the Third Proportional to 130,964 and 285,917

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Solution

The third proportional to 130,964 and 285,917 is: 624,206.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,964 : 285,917 = 285,917 : x
  2. Step 2: Convert to fraction form
    130,964/285,917 = 285,917/x
  3. Step 3: Cross multiply
    130,964x = 285,917 × 285,917
  4. Step 4: Simplify right side
    130,964x = 81,748,530,889
  5. Step 5: Solve for x
    x = 81,748,530,889/130,964
  6. Step 6: Final answer
    x = 624,206.12

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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.