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Finding the Third Proportional to 164,845.13 and 217,743.19

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Solution

The third proportional to 164,845.13 and 217,743.19 is: 287,616.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,845.13 : 217,743.19 = 217,743.19 : x
  2. Step 2: Convert to fraction form
    164,845.13/217,743.19 = 217,743.19/x
  3. Step 3: Cross multiply
    164,845.13x = 217,743.19 × 217,743.19
  4. Step 4: Simplify right side
    164,845.13x = 47,412,095,702.66
  5. Step 5: Solve for x
    x = 47,412,095,702.66/164,845.13
  6. Step 6: Final answer
    x = 287,616.00

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.