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Finding the Third Proportional to 155,548.50 and 419,013

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Solution

The third proportional to 155,548.50 and 419,013 is: 1,128,727.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,548.50 : 419,013 = 419,013 : x
  2. Step 2: Convert to fraction form
    155,548.50/419,013 = 419,013/x
  3. Step 3: Cross multiply
    155,548.50x = 419,013 × 419,013
  4. Step 4: Simplify right side
    155,548.50x = 175,571,894,169
  5. Step 5: Solve for x
    x = 175,571,894,169/155,548.50
  6. Step 6: Final answer
    x = 1,128,727.66

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Why These Related Problems?

These problems maintain the same ratio (2.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.