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Finding the Third Proportional to 133,321.57 and 282,328.03

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Solution

The third proportional to 133,321.57 and 282,328.03 is: 597,871.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,321.57 : 282,328.03 = 282,328.03 : x
  2. Step 2: Convert to fraction form
    133,321.57/282,328.03 = 282,328.03/x
  3. Step 3: Cross multiply
    133,321.57x = 282,328.03 × 282,328.03
  4. Step 4: Simplify right side
    133,321.57x = 79,709,117,229.50
  5. Step 5: Solve for x
    x = 79,709,117,229.50/133,321.57
  6. Step 6: Final answer
    x = 597,871.13

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.