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Finding the Third Proportional to 227,352 and 339,622

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Solution

The third proportional to 227,352 and 339,622 is: 507,332.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,352 : 339,622 = 339,622 : x
  2. Step 2: Convert to fraction form
    227,352/339,622 = 339,622/x
  3. Step 3: Cross multiply
    227,352x = 339,622 × 339,622
  4. Step 4: Simplify right side
    227,352x = 115,343,102,884
  5. Step 5: Solve for x
    x = 115,343,102,884/227,352
  6. Step 6: Final answer
    x = 507,332.70

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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.