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Finding the Third Proportional to 178,101 and 362,781

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Solution

The third proportional to 178,101 and 362,781 is: 738,963.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,101 : 362,781 = 362,781 : x
  2. Step 2: Convert to fraction form
    178,101/362,781 = 362,781/x
  3. Step 3: Cross multiply
    178,101x = 362,781 × 362,781
  4. Step 4: Simplify right side
    178,101x = 131,610,053,961
  5. Step 5: Solve for x
    x = 131,610,053,961/178,101
  6. Step 6: Final answer
    x = 738,963.03

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.