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Finding the Third Proportional to 175,073 and 277,918

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Solution

The third proportional to 175,073 and 277,918 is: 441,178.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,073 : 277,918 = 277,918 : x
  2. Step 2: Convert to fraction form
    175,073/277,918 = 277,918/x
  3. Step 3: Cross multiply
    175,073x = 277,918 × 277,918
  4. Step 4: Simplify right side
    175,073x = 77,238,414,724
  5. Step 5: Solve for x
    x = 77,238,414,724/175,073
  6. Step 6: Final answer
    x = 441,178.34

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.