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Finding the Third Proportional to 69,756.19 and 151,404.19

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Solution

The third proportional to 69,756.19 and 151,404.19 is: 328,619.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,756.19 : 151,404.19 = 151,404.19 : x
  2. Step 2: Convert to fraction form
    69,756.19/151,404.19 = 151,404.19/x
  3. Step 3: Cross multiply
    69,756.19x = 151,404.19 × 151,404.19
  4. Step 4: Simplify right side
    69,756.19x = 22,923,227,992.54
  5. Step 5: Solve for x
    x = 22,923,227,992.54/69,756.19
  6. Step 6: Final answer
    x = 328,619.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.