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Finding the Third Proportional to 179,922 and 264,045

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Solution

The third proportional to 179,922 and 264,045 is: 387,499.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,922 : 264,045 = 264,045 : x
  2. Step 2: Convert to fraction form
    179,922/264,045 = 264,045/x
  3. Step 3: Cross multiply
    179,922x = 264,045 × 264,045
  4. Step 4: Simplify right side
    179,922x = 69,719,762,025
  5. Step 5: Solve for x
    x = 69,719,762,025/179,922
  6. Step 6: Final answer
    x = 387,499.93

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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.