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Finding the Third Proportional to 175,569 and 372,054

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Solution

The third proportional to 175,569 and 372,054 is: 788,431.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,569 : 372,054 = 372,054 : x
  2. Step 2: Convert to fraction form
    175,569/372,054 = 372,054/x
  3. Step 3: Cross multiply
    175,569x = 372,054 × 372,054
  4. Step 4: Simplify right side
    175,569x = 138,424,178,916
  5. Step 5: Solve for x
    x = 138,424,178,916/175,569
  6. Step 6: Final answer
    x = 788,431.78

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.