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Finding the Third Proportional to 171,375.75 and 375,981.75

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Solution

The third proportional to 171,375.75 and 375,981.75 is: 824,867.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,375.75 : 375,981.75 = 375,981.75 : x
  2. Step 2: Convert to fraction form
    171,375.75/375,981.75 = 375,981.75/x
  3. Step 3: Cross multiply
    171,375.75x = 375,981.75 × 375,981.75
  4. Step 4: Simplify right side
    171,375.75x = 141,362,276,333.06
  5. Step 5: Solve for x
    x = 141,362,276,333.06/171,375.75
  6. Step 6: Final answer
    x = 824,867.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.