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Finding the Third Proportional to 282,358 and 424,170

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Solution

The third proportional to 282,358 and 424,170 is: 637,205.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,358 : 424,170 = 424,170 : x
  2. Step 2: Convert to fraction form
    282,358/424,170 = 424,170/x
  3. Step 3: Cross multiply
    282,358x = 424,170 × 424,170
  4. Step 4: Simplify right side
    282,358x = 179,920,188,900
  5. Step 5: Solve for x
    x = 179,920,188,900/282,358
  6. Step 6: Final answer
    x = 637,205.92

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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.