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Finding the Third Proportional to 228,554 and 342,614

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Solution

The third proportional to 228,554 and 342,614 is: 513,595.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,554 : 342,614 = 342,614 : x
  2. Step 2: Convert to fraction form
    228,554/342,614 = 342,614/x
  3. Step 3: Cross multiply
    228,554x = 342,614 × 342,614
  4. Step 4: Simplify right side
    228,554x = 117,384,352,996
  5. Step 5: Solve for x
    x = 117,384,352,996/228,554
  6. Step 6: Final answer
    x = 513,595.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.