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Finding the Third Proportional to 178.03 and 314.30

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Solution

The third proportional to 178.03 and 314.30 is: 554.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.03 : 314.30 = 314.30 : x
  2. Step 2: Convert to fraction form
    178.03/314.30 = 314.30/x
  3. Step 3: Cross multiply
    178.03x = 314.30 × 314.30
  4. Step 4: Simplify right side
    178.03x = 98,782.53
  5. Step 5: Solve for x
    x = 98,782.53/178.03
  6. Step 6: Final answer
    x = 554.86

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.