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Finding the Third Proportional to 176,032 and 264,892

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Solution

The third proportional to 176,032 and 264,892 is: 398,608.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,032 : 264,892 = 264,892 : x
  2. Step 2: Convert to fraction form
    176,032/264,892 = 264,892/x
  3. Step 3: Cross multiply
    176,032x = 264,892 × 264,892
  4. Step 4: Simplify right side
    176,032x = 70,167,771,664
  5. Step 5: Solve for x
    x = 70,167,771,664/176,032
  6. Step 6: Final answer
    x = 398,608.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.