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Finding the Third Proportional to 193,549.50 and 404,838

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Solution

The third proportional to 193,549.50 and 404,838 is: 846,779.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,549.50 : 404,838 = 404,838 : x
  2. Step 2: Convert to fraction form
    193,549.50/404,838 = 404,838/x
  3. Step 3: Cross multiply
    193,549.50x = 404,838 × 404,838
  4. Step 4: Simplify right side
    193,549.50x = 163,893,806,244
  5. Step 5: Solve for x
    x = 163,893,806,244/193,549.50
  6. Step 6: Final answer
    x = 846,779.80

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.