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Finding the Third Proportional to 123,235.50 and 252,309

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Solution

The third proportional to 123,235.50 and 252,309 is: 516,570.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,235.50 : 252,309 = 252,309 : x
  2. Step 2: Convert to fraction form
    123,235.50/252,309 = 252,309/x
  3. Step 3: Cross multiply
    123,235.50x = 252,309 × 252,309
  4. Step 4: Simplify right side
    123,235.50x = 63,659,831,481
  5. Step 5: Solve for x
    x = 63,659,831,481/123,235.50
  6. Step 6: Final answer
    x = 516,570.56

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.