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Finding the Third Proportional to 273,136.50 and 596,088

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Solution

The third proportional to 273,136.50 and 596,088 is: 1,300,891.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,136.50 : 596,088 = 596,088 : x
  2. Step 2: Convert to fraction form
    273,136.50/596,088 = 596,088/x
  3. Step 3: Cross multiply
    273,136.50x = 596,088 × 596,088
  4. Step 4: Simplify right side
    273,136.50x = 355,320,903,744
  5. Step 5: Solve for x
    x = 355,320,903,744/273,136.50
  6. Step 6: Final answer
    x = 1,300,891.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.