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Finding the Third Proportional to 225,064 and 340,005

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Solution

The third proportional to 225,064 and 340,005 is: 513,646.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,064 : 340,005 = 340,005 : x
  2. Step 2: Convert to fraction form
    225,064/340,005 = 340,005/x
  3. Step 3: Cross multiply
    225,064x = 340,005 × 340,005
  4. Step 4: Simplify right side
    225,064x = 115,603,400,025
  5. Step 5: Solve for x
    x = 115,603,400,025/225,064
  6. Step 6: Final answer
    x = 513,646.79

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.