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Finding the Third Proportional to 177.06 and 376.91

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Solution

The third proportional to 177.06 and 376.91 is: 802.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.06 : 376.91 = 376.91 : x
  2. Step 2: Convert to fraction form
    177.06/376.91 = 376.91/x
  3. Step 3: Cross multiply
    177.06x = 376.91 × 376.91
  4. Step 4: Simplify right side
    177.06x = 142,058.32
  5. Step 5: Solve for x
    x = 142,058.32/177.06
  6. Step 6: Final answer
    x = 802.31

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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.