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Finding the Third Proportional to 246,259.13 and 522,171.56

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Solution

The third proportional to 246,259.13 and 522,171.56 is: 1,107,220.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,259.13 : 522,171.56 = 522,171.56 : x
  2. Step 2: Convert to fraction form
    246,259.13/522,171.56 = 522,171.56/x
  3. Step 3: Cross multiply
    246,259.13x = 522,171.56 × 522,171.56
  4. Step 4: Simplify right side
    246,259.13x = 272,663,140,683.69
  5. Step 5: Solve for x
    x = 272,663,140,683.69/246,259.13
  6. Step 6: Final answer
    x = 1,107,220.46

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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.