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Finding the Third Proportional to 176.19 and 279.88

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Solution

The third proportional to 176.19 and 279.88 is: 444.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.19 : 279.88 = 279.88 : x
  2. Step 2: Convert to fraction form
    176.19/279.88 = 279.88/x
  3. Step 3: Cross multiply
    176.19x = 279.88 × 279.88
  4. Step 4: Simplify right side
    176.19x = 78,330.02
  5. Step 5: Solve for x
    x = 78,330.02/176.19
  6. Step 6: Final answer
    x = 444.58

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.