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Finding the Third Proportional to 69,208.50 and 151,341

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Solution

The third proportional to 69,208.50 and 151,341 is: 330,943.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,208.50 : 151,341 = 151,341 : x
  2. Step 2: Convert to fraction form
    69,208.50/151,341 = 151,341/x
  3. Step 3: Cross multiply
    69,208.50x = 151,341 × 151,341
  4. Step 4: Simplify right side
    69,208.50x = 22,904,098,281
  5. Step 5: Solve for x
    x = 22,904,098,281/69,208.50
  6. Step 6: Final answer
    x = 330,943.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.