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Finding the Third Proportional to 175,506.75 and 250,791.19

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Solution

The third proportional to 175,506.75 and 250,791.19 is: 358,369.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,506.75 : 250,791.19 = 250,791.19 : x
  2. Step 2: Convert to fraction form
    175,506.75/250,791.19 = 250,791.19/x
  3. Step 3: Cross multiply
    175,506.75x = 250,791.19 × 250,791.19
  4. Step 4: Simplify right side
    175,506.75x = 62,896,219,727.66
  5. Step 5: Solve for x
    x = 62,896,219,727.66/175,506.75
  6. Step 6: Final answer
    x = 358,369.23

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.