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Finding the Third Proportional to 142,212 and 307,227

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Solution

The third proportional to 142,212 and 307,227 is: 663,716.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,212 : 307,227 = 307,227 : x
  2. Step 2: Convert to fraction form
    142,212/307,227 = 307,227/x
  3. Step 3: Cross multiply
    142,212x = 307,227 × 307,227
  4. Step 4: Simplify right side
    142,212x = 94,388,429,529
  5. Step 5: Solve for x
    x = 94,388,429,529/142,212
  6. Step 6: Final answer
    x = 663,716.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.