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Finding the Third Proportional to 133,040 and 285,763

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Solution

The third proportional to 133,040 and 285,763 is: 613,804.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,040 : 285,763 = 285,763 : x
  2. Step 2: Convert to fraction form
    133,040/285,763 = 285,763/x
  3. Step 3: Cross multiply
    133,040x = 285,763 × 285,763
  4. Step 4: Simplify right side
    133,040x = 81,660,492,169
  5. Step 5: Solve for x
    x = 81,660,492,169/133,040
  6. Step 6: Final answer
    x = 613,804.06

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.