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Finding the Third Proportional to 113,269.50 and 264,543.75

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Solution

The third proportional to 113,269.50 and 264,543.75 is: 617,848.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,269.50 : 264,543.75 = 264,543.75 : x
  2. Step 2: Convert to fraction form
    113,269.50/264,543.75 = 264,543.75/x
  3. Step 3: Cross multiply
    113,269.50x = 264,543.75 × 264,543.75
  4. Step 4: Simplify right side
    113,269.50x = 69,983,395,664.06
  5. Step 5: Solve for x
    x = 69,983,395,664.06/113,269.50
  6. Step 6: Final answer
    x = 617,848.54

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.