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Finding the Third Proportional to 201,702.70 and 438,891.82

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Solution

The third proportional to 201,702.70 and 438,891.82 is: 954,999.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,702.70 : 438,891.82 = 438,891.82 : x
  2. Step 2: Convert to fraction form
    201,702.70/438,891.82 = 438,891.82/x
  3. Step 3: Cross multiply
    201,702.70x = 438,891.82 × 438,891.82
  4. Step 4: Simplify right side
    201,702.70x = 192,626,026,079.78
  5. Step 5: Solve for x
    x = 192,626,026,079.78/201,702.70
  6. Step 6: Final answer
    x = 954,999.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.