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Finding the Third Proportional to 341.72 and 456.14

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Solution

The third proportional to 341.72 and 456.14 is: 608.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.72 : 456.14 = 456.14 : x
  2. Step 2: Convert to fraction form
    341.72/456.14 = 456.14/x
  3. Step 3: Cross multiply
    341.72x = 456.14 × 456.14
  4. Step 4: Simplify right side
    341.72x = 208,064.27
  5. Step 5: Solve for x
    x = 208,064.27/341.72
  6. Step 6: Final answer
    x = 608.88

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.