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Finding the Third Proportional to 171,904.75 and 371,462.25

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Solution

The third proportional to 171,904.75 and 371,462.25 is: 802,678.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,904.75 : 371,462.25 = 371,462.25 : x
  2. Step 2: Convert to fraction form
    171,904.75/371,462.25 = 371,462.25/x
  3. Step 3: Cross multiply
    171,904.75x = 371,462.25 × 371,462.25
  4. Step 4: Simplify right side
    171,904.75x = 137,984,203,175.06
  5. Step 5: Solve for x
    x = 137,984,203,175.06/171,904.75
  6. Step 6: Final answer
    x = 802,678.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.