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Finding the Third Proportional to 177.19 and 278.16

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Solution

The third proportional to 177.19 and 278.16 is: 436.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.19 : 278.16 = 278.16 : x
  2. Step 2: Convert to fraction form
    177.19/278.16 = 278.16/x
  3. Step 3: Cross multiply
    177.19x = 278.16 × 278.16
  4. Step 4: Simplify right side
    177.19x = 77,370.90
  5. Step 5: Solve for x
    x = 77,370.90/177.19
  6. Step 6: Final answer
    x = 436.66

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.