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Finding the Third Proportional to 172,754.44 and 266,511.94

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Solution

The third proportional to 172,754.44 and 266,511.94 is: 411,153.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,754.44 : 266,511.94 = 266,511.94 : x
  2. Step 2: Convert to fraction form
    172,754.44/266,511.94 = 266,511.94/x
  3. Step 3: Cross multiply
    172,754.44x = 266,511.94 × 266,511.94
  4. Step 4: Simplify right side
    172,754.44x = 71,028,612,830.00
  5. Step 5: Solve for x
    x = 71,028,612,830.00/172,754.44
  6. Step 6: Final answer
    x = 411,153.62

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.