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Finding the Third Proportional to 282,336.75 and 424,134

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Solution

The third proportional to 282,336.75 and 424,134 is: 637,145.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,336.75 : 424,134 = 424,134 : x
  2. Step 2: Convert to fraction form
    282,336.75/424,134 = 424,134/x
  3. Step 3: Cross multiply
    282,336.75x = 424,134 × 424,134
  4. Step 4: Simplify right side
    282,336.75x = 179,889,649,956
  5. Step 5: Solve for x
    x = 179,889,649,956/282,336.75
  6. Step 6: Final answer
    x = 637,145.71

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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.