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Finding the Third Proportional to 182,677 and 273,273

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Solution

The third proportional to 182,677 and 273,273 is: 408,798.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,677 : 273,273 = 273,273 : x
  2. Step 2: Convert to fraction form
    182,677/273,273 = 273,273/x
  3. Step 3: Cross multiply
    182,677x = 273,273 × 273,273
  4. Step 4: Simplify right side
    182,677x = 74,678,132,529
  5. Step 5: Solve for x
    x = 74,678,132,529/182,677
  6. Step 6: Final answer
    x = 408,798.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.