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Finding the Third Proportional to 140,550 and 223,538.25

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Solution

The third proportional to 140,550 and 223,538.25 is: 355,527.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,550 : 223,538.25 = 223,538.25 : x
  2. Step 2: Convert to fraction form
    140,550/223,538.25 = 223,538.25/x
  3. Step 3: Cross multiply
    140,550x = 223,538.25 × 223,538.25
  4. Step 4: Simplify right side
    140,550x = 49,969,349,213.06
  5. Step 5: Solve for x
    x = 49,969,349,213.06/140,550
  6. Step 6: Final answer
    x = 355,527.21

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.