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Finding the Third Proportional to 179,905 and 264,025

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Solution

The third proportional to 179,905 and 264,025 is: 387,477.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,905 : 264,025 = 264,025 : x
  2. Step 2: Convert to fraction form
    179,905/264,025 = 264,025/x
  3. Step 3: Cross multiply
    179,905x = 264,025 × 264,025
  4. Step 4: Simplify right side
    179,905x = 69,709,200,625
  5. Step 5: Solve for x
    x = 69,709,200,625/179,905
  6. Step 6: Final answer
    x = 387,477.84

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.