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Finding the Third Proportional to 156,906 and 339,572

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Solution

The third proportional to 156,906 and 339,572 is: 734,893.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,906 : 339,572 = 339,572 : x
  2. Step 2: Convert to fraction form
    156,906/339,572 = 339,572/x
  3. Step 3: Cross multiply
    156,906x = 339,572 × 339,572
  4. Step 4: Simplify right side
    156,906x = 115,309,143,184
  5. Step 5: Solve for x
    x = 115,309,143,184/156,906
  6. Step 6: Final answer
    x = 734,893.14

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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.