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Finding the Third Proportional to 282,356 and 424,167

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Solution

The third proportional to 282,356 and 424,167 is: 637,201.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,356 : 424,167 = 424,167 : x
  2. Step 2: Convert to fraction form
    282,356/424,167 = 424,167/x
  3. Step 3: Cross multiply
    282,356x = 424,167 × 424,167
  4. Step 4: Simplify right side
    282,356x = 179,917,643,889
  5. Step 5: Solve for x
    x = 179,917,643,889/282,356
  6. Step 6: Final answer
    x = 637,201.42

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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.