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Finding the Third Proportional to 222,031 and 347,923.50

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Solution

The third proportional to 222,031 and 347,923.50 is: 545,197.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,031 : 347,923.50 = 347,923.50 : x
  2. Step 2: Convert to fraction form
    222,031/347,923.50 = 347,923.50/x
  3. Step 3: Cross multiply
    222,031x = 347,923.50 × 347,923.50
  4. Step 4: Simplify right side
    222,031x = 121,050,761,852.25
  5. Step 5: Solve for x
    x = 121,050,761,852.25/222,031
  6. Step 6: Final answer
    x = 545,197.57

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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.