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Finding the Third Proportional to 179,376 and 277,584

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Solution

The third proportional to 179,376 and 277,584 is: 429,560.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,376 : 277,584 = 277,584 : x
  2. Step 2: Convert to fraction form
    179,376/277,584 = 277,584/x
  3. Step 3: Cross multiply
    179,376x = 277,584 × 277,584
  4. Step 4: Simplify right side
    179,376x = 77,052,877,056
  5. Step 5: Solve for x
    x = 77,052,877,056/179,376
  6. Step 6: Final answer
    x = 429,560.68

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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.