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Finding the Third Proportional to 135,831.38 and 294,997.50

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Solution

The third proportional to 135,831.38 and 294,997.50 is: 640,673.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,831.38 : 294,997.50 = 294,997.50 : x
  2. Step 2: Convert to fraction form
    135,831.38/294,997.50 = 294,997.50/x
  3. Step 3: Cross multiply
    135,831.38x = 294,997.50 × 294,997.50
  4. Step 4: Simplify right side
    135,831.38x = 87,023,525,006.25
  5. Step 5: Solve for x
    x = 87,023,525,006.25/135,831.38
  6. Step 6: Final answer
    x = 640,673.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.