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Finding the Third Proportional to 250,022.50 and 539,138

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Solution

The third proportional to 250,022.50 and 539,138 is: 1,162,574.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,022.50 : 539,138 = 539,138 : x
  2. Step 2: Convert to fraction form
    250,022.50/539,138 = 539,138/x
  3. Step 3: Cross multiply
    250,022.50x = 539,138 × 539,138
  4. Step 4: Simplify right side
    250,022.50x = 290,669,783,044
  5. Step 5: Solve for x
    x = 290,669,783,044/250,022.50
  6. Step 6: Final answer
    x = 1,162,574.50

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.