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Finding the Third Proportional to 133,124 and 286,546

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Solution

The third proportional to 133,124 and 286,546 is: 616,782.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,124 : 286,546 = 286,546 : x
  2. Step 2: Convert to fraction form
    133,124/286,546 = 286,546/x
  3. Step 3: Cross multiply
    133,124x = 286,546 × 286,546
  4. Step 4: Simplify right side
    133,124x = 82,108,610,116
  5. Step 5: Solve for x
    x = 82,108,610,116/133,124
  6. Step 6: Final answer
    x = 616,782.93

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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.