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Finding the Third Proportional to 142,214 and 307,234

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Solution

The third proportional to 142,214 and 307,234 is: 663,737.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,214 : 307,234 = 307,234 : x
  2. Step 2: Convert to fraction form
    142,214/307,234 = 307,234/x
  3. Step 3: Cross multiply
    142,214x = 307,234 × 307,234
  4. Step 4: Simplify right side
    142,214x = 94,392,730,756
  5. Step 5: Solve for x
    x = 94,392,730,756/142,214
  6. Step 6: Final answer
    x = 663,737.26

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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.