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Finding the Third Proportional to 175,071 and 277,915

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Solution

The third proportional to 175,071 and 277,915 is: 441,173.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,071 : 277,915 = 277,915 : x
  2. Step 2: Convert to fraction form
    175,071/277,915 = 277,915/x
  3. Step 3: Cross multiply
    175,071x = 277,915 × 277,915
  4. Step 4: Simplify right side
    175,071x = 77,236,747,225
  5. Step 5: Solve for x
    x = 77,236,747,225/175,071
  6. Step 6: Final answer
    x = 441,173.85

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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.