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Finding the Third Proportional to 176,396.91 and 381,088.13

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Solution

The third proportional to 176,396.91 and 381,088.13 is: 823,303.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,396.91 : 381,088.13 = 381,088.13 : x
  2. Step 2: Convert to fraction form
    176,396.91/381,088.13 = 381,088.13/x
  3. Step 3: Cross multiply
    176,396.91x = 381,088.13 × 381,088.13
  4. Step 4: Simplify right side
    176,396.91x = 145,228,159,016.02
  5. Step 5: Solve for x
    x = 145,228,159,016.02/176,396.91
  6. Step 6: Final answer
    x = 823,303.32

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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.