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Finding the Third Proportional to 282,136 and 603,096

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Solution

The third proportional to 282,136 and 603,096 is: 1,289,182.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,136 : 603,096 = 603,096 : x
  2. Step 2: Convert to fraction form
    282,136/603,096 = 603,096/x
  3. Step 3: Cross multiply
    282,136x = 603,096 × 603,096
  4. Step 4: Simplify right side
    282,136x = 363,724,785,216
  5. Step 5: Solve for x
    x = 363,724,785,216/282,136
  6. Step 6: Final answer
    x = 1,289,182.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.