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Finding the Third Proportional to 177,600 and 263,700

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Solution

The third proportional to 177,600 and 263,700 is: 391,541.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,600 : 263,700 = 263,700 : x
  2. Step 2: Convert to fraction form
    177,600/263,700 = 263,700/x
  3. Step 3: Cross multiply
    177,600x = 263,700 × 263,700
  4. Step 4: Simplify right side
    177,600x = 69,537,690,000
  5. Step 5: Solve for x
    x = 69,537,690,000/177,600
  6. Step 6: Final answer
    x = 391,541.05

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.