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Finding the Third Proportional to 133,165.75 and 286,095.25

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Solution

The third proportional to 133,165.75 and 286,095.25 is: 614,651.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,165.75 : 286,095.25 = 286,095.25 : x
  2. Step 2: Convert to fraction form
    133,165.75/286,095.25 = 286,095.25/x
  3. Step 3: Cross multiply
    133,165.75x = 286,095.25 × 286,095.25
  4. Step 4: Simplify right side
    133,165.75x = 81,850,492,072.56
  5. Step 5: Solve for x
    x = 81,850,492,072.56/133,165.75
  6. Step 6: Final answer
    x = 614,651.23

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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.