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Finding the Third Proportional to 176,772 and 384,282

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Solution

The third proportional to 176,772 and 384,282 is: 835,384.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,772 : 384,282 = 384,282 : x
  2. Step 2: Convert to fraction form
    176,772/384,282 = 384,282/x
  3. Step 3: Cross multiply
    176,772x = 384,282 × 384,282
  4. Step 4: Simplify right side
    176,772x = 147,672,655,524
  5. Step 5: Solve for x
    x = 147,672,655,524/176,772
  6. Step 6: Final answer
    x = 835,384.88

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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.