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Finding the Third Proportional to 228,552 and 342,612

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Solution

The third proportional to 228,552 and 342,612 is: 513,594.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,552 : 342,612 = 342,612 : x
  2. Step 2: Convert to fraction form
    228,552/342,612 = 342,612/x
  3. Step 3: Cross multiply
    228,552x = 342,612 × 342,612
  4. Step 4: Simplify right side
    228,552x = 117,382,982,544
  5. Step 5: Solve for x
    x = 117,382,982,544/228,552
  6. Step 6: Final answer
    x = 513,594.20

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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.