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Finding the Third Proportional to 251,803.69 and 546,189.75

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Solution

The third proportional to 251,803.69 and 546,189.75 is: 1,184,745.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,803.69 : 546,189.75 = 546,189.75 : x
  2. Step 2: Convert to fraction form
    251,803.69/546,189.75 = 546,189.75/x
  3. Step 3: Cross multiply
    251,803.69x = 546,189.75 × 546,189.75
  4. Step 4: Simplify right side
    251,803.69x = 298,323,243,005.06
  5. Step 5: Solve for x
    x = 298,323,243,005.06/251,803.69
  6. Step 6: Final answer
    x = 1,184,745.33

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.