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Finding the Third Proportional to 176,057 and 264,927

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Solution

The third proportional to 176,057 and 264,927 is: 398,656.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,057 : 264,927 = 264,927 : x
  2. Step 2: Convert to fraction form
    176,057/264,927 = 264,927/x
  3. Step 3: Cross multiply
    176,057x = 264,927 × 264,927
  4. Step 4: Simplify right side
    176,057x = 70,186,315,329
  5. Step 5: Solve for x
    x = 70,186,315,329/176,057
  6. Step 6: Final answer
    x = 398,656.77

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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.