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Finding the Third Proportional to 340.13 and 458.91

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Solution

The third proportional to 340.13 and 458.91 is: 619.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.13 : 458.91 = 458.91 : x
  2. Step 2: Convert to fraction form
    340.13/458.91 = 458.91/x
  3. Step 3: Cross multiply
    340.13x = 458.91 × 458.91
  4. Step 4: Simplify right side
    340.13x = 210,594.95
  5. Step 5: Solve for x
    x = 210,594.95/340.13
  6. Step 6: Final answer
    x = 619.17

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.