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Finding the Third Proportional to 191,840.06 and 300,950.44

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Solution

The third proportional to 191,840.06 and 300,950.44 is: 472,118.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,840.06 : 300,950.44 = 300,950.44 : x
  2. Step 2: Convert to fraction form
    191,840.06/300,950.44 = 300,950.44/x
  3. Step 3: Cross multiply
    191,840.06x = 300,950.44 × 300,950.44
  4. Step 4: Simplify right side
    191,840.06x = 90,571,165,831.44
  5. Step 5: Solve for x
    x = 90,571,165,831.44/191,840.06
  6. Step 6: Final answer
    x = 472,118.10

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.