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Finding the Third Proportional to 189,706.50 and 253,751.63

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Solution

The third proportional to 189,706.50 and 253,751.63 is: 339,418.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,706.50 : 253,751.63 = 253,751.63 : x
  2. Step 2: Convert to fraction form
    189,706.50/253,751.63 = 253,751.63/x
  3. Step 3: Cross multiply
    189,706.50x = 253,751.63 × 253,751.63
  4. Step 4: Simplify right side
    189,706.50x = 64,389,887,190.14
  5. Step 5: Solve for x
    x = 64,389,887,190.14/189,706.50
  6. Step 6: Final answer
    x = 339,418.46

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.