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Finding the Third Proportional to 176,887.13 and 381,795.19

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Solution

The third proportional to 176,887.13 and 381,795.19 is: 824,071.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,887.13 : 381,795.19 = 381,795.19 : x
  2. Step 2: Convert to fraction form
    176,887.13/381,795.19 = 381,795.19/x
  3. Step 3: Cross multiply
    176,887.13x = 381,795.19 × 381,795.19
  4. Step 4: Simplify right side
    176,887.13x = 145,767,565,198.16
  5. Step 5: Solve for x
    x = 145,767,565,198.16/176,887.13
  6. Step 6: Final answer
    x = 824,071.09

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.