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Finding the Third Proportional to 175,972 and 283,326

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Solution

The third proportional to 175,972 and 283,326 is: 456,172.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,972 : 283,326 = 283,326 : x
  2. Step 2: Convert to fraction form
    175,972/283,326 = 283,326/x
  3. Step 3: Cross multiply
    175,972x = 283,326 × 283,326
  4. Step 4: Simplify right side
    175,972x = 80,273,622,276
  5. Step 5: Solve for x
    x = 80,273,622,276/175,972
  6. Step 6: Final answer
    x = 456,172.70

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.