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Finding the Third Proportional to 176,945 and 281,447

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Solution

The third proportional to 176,945 and 281,447 is: 447,666.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,945 : 281,447 = 281,447 : x
  2. Step 2: Convert to fraction form
    176,945/281,447 = 281,447/x
  3. Step 3: Cross multiply
    176,945x = 281,447 × 281,447
  4. Step 4: Simplify right side
    176,945x = 79,212,413,809
  5. Step 5: Solve for x
    x = 79,212,413,809/176,945
  6. Step 6: Final answer
    x = 447,666.87

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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.