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Finding the Third Proportional to 172,628 and 264,978

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Solution

The third proportional to 172,628 and 264,978 is: 406,732.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,628 : 264,978 = 264,978 : x
  2. Step 2: Convert to fraction form
    172,628/264,978 = 264,978/x
  3. Step 3: Cross multiply
    172,628x = 264,978 × 264,978
  4. Step 4: Simplify right side
    172,628x = 70,213,340,484
  5. Step 5: Solve for x
    x = 70,213,340,484/172,628
  6. Step 6: Final answer
    x = 406,732.05

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.