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Finding the Third Proportional to 176,870.75 and 381,747

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Solution

The third proportional to 176,870.75 and 381,747 is: 823,939.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,870.75 : 381,747 = 381,747 : x
  2. Step 2: Convert to fraction form
    176,870.75/381,747 = 381,747/x
  3. Step 3: Cross multiply
    176,870.75x = 381,747 × 381,747
  4. Step 4: Simplify right side
    176,870.75x = 145,730,772,009
  5. Step 5: Solve for x
    x = 145,730,772,009/176,870.75
  6. Step 6: Final answer
    x = 823,939.36

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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.