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Finding the Third Proportional to 340,051.50 and 510,131.25

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Solution

The third proportional to 340,051.50 and 510,131.25 is: 765,277.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,051.50 : 510,131.25 = 510,131.25 : x
  2. Step 2: Convert to fraction form
    340,051.50/510,131.25 = 510,131.25/x
  3. Step 3: Cross multiply
    340,051.50x = 510,131.25 × 510,131.25
  4. Step 4: Simplify right side
    340,051.50x = 260,233,892,226.56
  5. Step 5: Solve for x
    x = 260,233,892,226.56/340,051.50
  6. Step 6: Final answer
    x = 765,277.88

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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.