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Finding the Third Proportional to 173,628 and 230,552

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Solution

The third proportional to 173,628 and 230,552 is: 306,138.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,628 : 230,552 = 230,552 : x
  2. Step 2: Convert to fraction form
    173,628/230,552 = 230,552/x
  3. Step 3: Cross multiply
    173,628x = 230,552 × 230,552
  4. Step 4: Simplify right side
    173,628x = 53,154,224,704
  5. Step 5: Solve for x
    x = 53,154,224,704/173,628
  6. Step 6: Final answer
    x = 306,138.55

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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.