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Finding the Third Proportional to 184,543.31 and 266,699.25

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Solution

The third proportional to 184,543.31 and 266,699.25 is: 385,429.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,543.31 : 266,699.25 = 266,699.25 : x
  2. Step 2: Convert to fraction form
    184,543.31/266,699.25 = 266,699.25/x
  3. Step 3: Cross multiply
    184,543.31x = 266,699.25 × 266,699.25
  4. Step 4: Simplify right side
    184,543.31x = 71,128,489,950.56
  5. Step 5: Solve for x
    x = 71,128,489,950.56/184,543.31
  6. Step 6: Final answer
    x = 385,429.79

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.