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Finding the Third Proportional to 177.50 and 380.63

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Solution

The third proportional to 177.50 and 380.63 is: 816.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.50 : 380.63 = 380.63 : x
  2. Step 2: Convert to fraction form
    177.50/380.63 = 380.63/x
  3. Step 3: Cross multiply
    177.50x = 380.63 × 380.63
  4. Step 4: Simplify right side
    177.50x = 144,875.39
  5. Step 5: Solve for x
    x = 144,875.39/177.50
  6. Step 6: Final answer
    x = 816.20

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.