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Finding the Third Proportional to 176,358 and 264,939

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Solution

The third proportional to 176,358 and 264,939 is: 398,012.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,358 : 264,939 = 264,939 : x
  2. Step 2: Convert to fraction form
    176,358/264,939 = 264,939/x
  3. Step 3: Cross multiply
    176,358x = 264,939 × 264,939
  4. Step 4: Simplify right side
    176,358x = 70,192,673,721
  5. Step 5: Solve for x
    x = 70,192,673,721/176,358
  6. Step 6: Final answer
    x = 398,012.42

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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.