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Finding the Third Proportional to 131,033.81 and 286,603.31

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Solution

The third proportional to 131,033.81 and 286,603.31 is: 626,872.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,033.81 : 286,603.31 = 286,603.31 : x
  2. Step 2: Convert to fraction form
    131,033.81/286,603.31 = 286,603.31/x
  3. Step 3: Cross multiply
    131,033.81x = 286,603.31 × 286,603.31
  4. Step 4: Simplify right side
    131,033.81x = 82,141,458,735.97
  5. Step 5: Solve for x
    x = 82,141,458,735.97/131,033.81
  6. Step 6: Final answer
    x = 626,872.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.