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Finding the Third Proportional to 177.19 and 377.16

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Solution

The third proportional to 177.19 and 377.16 is: 802.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.19 : 377.16 = 377.16 : x
  2. Step 2: Convert to fraction form
    177.19/377.16 = 377.16/x
  3. Step 3: Cross multiply
    177.19x = 377.16 × 377.16
  4. Step 4: Simplify right side
    177.19x = 142,246.84
  5. Step 5: Solve for x
    x = 142,246.84/177.19
  6. Step 6: Final answer
    x = 802.80

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.