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Finding the Third Proportional to 192,182.63 and 286,702.03

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Solution

The third proportional to 192,182.63 and 286,702.03 is: 427,708.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,182.63 : 286,702.03 = 286,702.03 : x
  2. Step 2: Convert to fraction form
    192,182.63/286,702.03 = 286,702.03/x
  3. Step 3: Cross multiply
    192,182.63x = 286,702.03 × 286,702.03
  4. Step 4: Simplify right side
    192,182.63x = 82,198,054,722.88
  5. Step 5: Solve for x
    x = 82,198,054,722.88/192,182.63
  6. Step 6: Final answer
    x = 427,708.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.