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Finding the Third Proportional to 176,289 and 257,049

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Solution

The third proportional to 176,289 and 257,049 is: 374,806.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,289 : 257,049 = 257,049 : x
  2. Step 2: Convert to fraction form
    176,289/257,049 = 257,049/x
  3. Step 3: Cross multiply
    176,289x = 257,049 × 257,049
  4. Step 4: Simplify right side
    176,289x = 66,074,188,401
  5. Step 5: Solve for x
    x = 66,074,188,401/176,289
  6. Step 6: Final answer
    x = 374,806.08

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.