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Finding the Third Proportional to 178,714 and 277,872

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Solution

The third proportional to 178,714 and 277,872 is: 432,047.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,714 : 277,872 = 277,872 : x
  2. Step 2: Convert to fraction form
    178,714/277,872 = 277,872/x
  3. Step 3: Cross multiply
    178,714x = 277,872 × 277,872
  4. Step 4: Simplify right side
    178,714x = 77,212,848,384
  5. Step 5: Solve for x
    x = 77,212,848,384/178,714
  6. Step 6: Final answer
    x = 432,047.00

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.