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Finding the Third Proportional to 176,723 and 273,031

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Solution

The third proportional to 176,723 and 273,031 is: 421,823.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,723 : 273,031 = 273,031 : x
  2. Step 2: Convert to fraction form
    176,723/273,031 = 273,031/x
  3. Step 3: Cross multiply
    176,723x = 273,031 × 273,031
  4. Step 4: Simplify right side
    176,723x = 74,545,926,961
  5. Step 5: Solve for x
    x = 74,545,926,961/176,723
  6. Step 6: Final answer
    x = 421,823.57

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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.