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Finding the Third Proportional to 123,153 and 264,723.75

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Solution

The third proportional to 123,153 and 264,723.75 is: 569,037.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,153 : 264,723.75 = 264,723.75 : x
  2. Step 2: Convert to fraction form
    123,153/264,723.75 = 264,723.75/x
  3. Step 3: Cross multiply
    123,153x = 264,723.75 × 264,723.75
  4. Step 4: Simplify right side
    123,153x = 70,078,663,814.06
  5. Step 5: Solve for x
    x = 70,078,663,814.06/123,153
  6. Step 6: Final answer
    x = 569,037.41

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.