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Finding the Third Proportional to 176,568.19 and 381,430.69

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Solution

The third proportional to 176,568.19 and 381,430.69 is: 823,984.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,568.19 : 381,430.69 = 381,430.69 : x
  2. Step 2: Convert to fraction form
    176,568.19/381,430.69 = 381,430.69/x
  3. Step 3: Cross multiply
    176,568.19x = 381,430.69 × 381,430.69
  4. Step 4: Simplify right side
    176,568.19x = 145,489,369,366.72
  5. Step 5: Solve for x
    x = 145,489,369,366.72/176,568.19
  6. Step 6: Final answer
    x = 823,984.05

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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.