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Finding the Third Proportional to 282,348 and 424,152

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Solution

The third proportional to 282,348 and 424,152 is: 637,174.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,348 : 424,152 = 424,152 : x
  2. Step 2: Convert to fraction form
    282,348/424,152 = 424,152/x
  3. Step 3: Cross multiply
    282,348x = 424,152 × 424,152
  4. Step 4: Simplify right side
    282,348x = 179,904,919,104
  5. Step 5: Solve for x
    x = 179,904,919,104/282,348
  6. Step 6: Final answer
    x = 637,174.41

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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.