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Finding the Third Proportional to 314.06 and 357.94

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Solution

The third proportional to 314.06 and 357.94 is: 407.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.06 : 357.94 = 357.94 : x
  2. Step 2: Convert to fraction form
    314.06/357.94 = 357.94/x
  3. Step 3: Cross multiply
    314.06x = 357.94 × 357.94
  4. Step 4: Simplify right side
    314.06x = 128,119.25
  5. Step 5: Solve for x
    x = 128,119.25/314.06
  6. Step 6: Final answer
    x = 407.94

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.