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Finding the Third Proportional to 112,706 and 228,508

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Solution

The third proportional to 112,706 and 228,508 is: 463,293.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,706 : 228,508 = 228,508 : x
  2. Step 2: Convert to fraction form
    112,706/228,508 = 228,508/x
  3. Step 3: Cross multiply
    112,706x = 228,508 × 228,508
  4. Step 4: Simplify right side
    112,706x = 52,215,906,064
  5. Step 5: Solve for x
    x = 52,215,906,064/112,706
  6. Step 6: Final answer
    x = 463,293.05

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.