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Finding the Third Proportional to 147.56 and 314.91

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Solution

The third proportional to 147.56 and 314.91 is: 672.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.56 : 314.91 = 314.91 : x
  2. Step 2: Convert to fraction form
    147.56/314.91 = 314.91/x
  3. Step 3: Cross multiply
    147.56x = 314.91 × 314.91
  4. Step 4: Simplify right side
    147.56x = 99,165.95
  5. Step 5: Solve for x
    x = 99,165.95/147.56
  6. Step 6: Final answer
    x = 672.03

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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.