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Finding the Third Proportional to 178,634 and 265,521

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Solution

The third proportional to 178,634 and 265,521 is: 394,669.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,634 : 265,521 = 265,521 : x
  2. Step 2: Convert to fraction form
    178,634/265,521 = 265,521/x
  3. Step 3: Cross multiply
    178,634x = 265,521 × 265,521
  4. Step 4: Simplify right side
    178,634x = 70,501,401,441
  5. Step 5: Solve for x
    x = 70,501,401,441/178,634
  6. Step 6: Final answer
    x = 394,669.56

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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.