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Finding the Third Proportional to 241,272.75 and 530,133

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Solution

The third proportional to 241,272.75 and 530,133 is: 1,164,826.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,272.75 : 530,133 = 530,133 : x
  2. Step 2: Convert to fraction form
    241,272.75/530,133 = 530,133/x
  3. Step 3: Cross multiply
    241,272.75x = 530,133 × 530,133
  4. Step 4: Simplify right side
    241,272.75x = 281,040,997,689
  5. Step 5: Solve for x
    x = 281,040,997,689/241,272.75
  6. Step 6: Final answer
    x = 1,164,826.93

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.