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Finding the Third Proportional to 340.13 and 509.06

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Solution

The third proportional to 340.13 and 509.06 is: 761.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.13 : 509.06 = 509.06 : x
  2. Step 2: Convert to fraction form
    340.13/509.06 = 509.06/x
  3. Step 3: Cross multiply
    340.13x = 509.06 × 509.06
  4. Step 4: Simplify right side
    340.13x = 259,144.63
  5. Step 5: Solve for x
    x = 259,144.63/340.13
  6. Step 6: Final answer
    x = 761.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.