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Finding the Third Proportional to 173,626 and 230,549

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Solution

The third proportional to 173,626 and 230,549 is: 306,134.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,626 : 230,549 = 230,549 : x
  2. Step 2: Convert to fraction form
    173,626/230,549 = 230,549/x
  3. Step 3: Cross multiply
    173,626x = 230,549 × 230,549
  4. Step 4: Simplify right side
    173,626x = 53,152,841,401
  5. Step 5: Solve for x
    x = 53,152,841,401/173,626
  6. Step 6: Final answer
    x = 306,134.11

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.