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Finding the Third Proportional to 176,969.81 and 383,464.13

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Solution

The third proportional to 176,969.81 and 383,464.13 is: 830,902.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,969.81 : 383,464.13 = 383,464.13 : x
  2. Step 2: Convert to fraction form
    176,969.81/383,464.13 = 383,464.13/x
  3. Step 3: Cross multiply
    176,969.81x = 383,464.13 × 383,464.13
  4. Step 4: Simplify right side
    176,969.81x = 147,044,735,162.02
  5. Step 5: Solve for x
    x = 147,044,735,162.02/176,969.81
  6. Step 6: Final answer
    x = 830,902.93

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.