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Finding the Third Proportional to 222,142.50 and 335,176.50

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Solution

The third proportional to 222,142.50 and 335,176.50 is: 505,726.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,142.50 : 335,176.50 = 335,176.50 : x
  2. Step 2: Convert to fraction form
    222,142.50/335,176.50 = 335,176.50/x
  3. Step 3: Cross multiply
    222,142.50x = 335,176.50 × 335,176.50
  4. Step 4: Simplify right side
    222,142.50x = 112,343,286,152.25
  5. Step 5: Solve for x
    x = 112,343,286,152.25/222,142.50
  6. Step 6: Final answer
    x = 505,726.22

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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.