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Finding the Third Proportional to 282,364 and 424,171

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Solution

The third proportional to 282,364 and 424,171 is: 637,195.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,364 : 424,171 = 424,171 : x
  2. Step 2: Convert to fraction form
    282,364/424,171 = 424,171/x
  3. Step 3: Cross multiply
    282,364x = 424,171 × 424,171
  4. Step 4: Simplify right side
    282,364x = 179,921,037,241
  5. Step 5: Solve for x
    x = 179,921,037,241/282,364
  6. Step 6: Final answer
    x = 637,195.38

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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.