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Finding the Third Proportional to 175,962.38 and 384,190.59

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Solution

The third proportional to 175,962.38 and 384,190.59 is: 838,829.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,962.38 : 384,190.59 = 384,190.59 : x
  2. Step 2: Convert to fraction form
    175,962.38/384,190.59 = 384,190.59/x
  3. Step 3: Cross multiply
    175,962.38x = 384,190.59 × 384,190.59
  4. Step 4: Simplify right side
    175,962.38x = 147,602,412,325.98
  5. Step 5: Solve for x
    x = 147,602,412,325.98/175,962.38
  6. Step 6: Final answer
    x = 838,829.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.