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Finding the Third Proportional to 227,356 and 339,628

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Solution

The third proportional to 227,356 and 339,628 is: 507,341.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,356 : 339,628 = 339,628 : x
  2. Step 2: Convert to fraction form
    227,356/339,628 = 339,628/x
  3. Step 3: Cross multiply
    227,356x = 339,628 × 339,628
  4. Step 4: Simplify right side
    227,356x = 115,347,178,384
  5. Step 5: Solve for x
    x = 115,347,178,384/227,356
  6. Step 6: Final answer
    x = 507,341.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.