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Finding the Third Proportional to 340.13 and 510.38

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Solution

The third proportional to 340.13 and 510.38 is: 765.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.13 : 510.38 = 510.38 : x
  2. Step 2: Convert to fraction form
    340.13/510.38 = 510.38/x
  3. Step 3: Cross multiply
    340.13x = 510.38 × 510.38
  4. Step 4: Simplify right side
    340.13x = 260,482.64
  5. Step 5: Solve for x
    x = 260,482.64/340.13
  6. Step 6: Final answer
    x = 765.84

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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.