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Finding the Third Proportional to 178,058.25 and 375,981.75

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Solution

The third proportional to 178,058.25 and 375,981.75 is: 793,910.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,058.25 : 375,981.75 = 375,981.75 : x
  2. Step 2: Convert to fraction form
    178,058.25/375,981.75 = 375,981.75/x
  3. Step 3: Cross multiply
    178,058.25x = 375,981.75 × 375,981.75
  4. Step 4: Simplify right side
    178,058.25x = 141,362,276,333.06
  5. Step 5: Solve for x
    x = 141,362,276,333.06/178,058.25
  6. Step 6: Final answer
    x = 793,910.29

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.