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Finding the Third Proportional to 266,293.50 and 581,349

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Solution

The third proportional to 266,293.50 and 581,349 is: 1,269,150.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,293.50 : 581,349 = 581,349 : x
  2. Step 2: Convert to fraction form
    266,293.50/581,349 = 581,349/x
  3. Step 3: Cross multiply
    266,293.50x = 581,349 × 581,349
  4. Step 4: Simplify right side
    266,293.50x = 337,966,659,801
  5. Step 5: Solve for x
    x = 337,966,659,801/266,293.50
  6. Step 6: Final answer
    x = 1,269,150.99

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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.