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Finding the Third Proportional to 193,549.50 and 294,561.56

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Solution

The third proportional to 193,549.50 and 294,561.56 is: 448,291.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,549.50 : 294,561.56 = 294,561.56 : x
  2. Step 2: Convert to fraction form
    193,549.50/294,561.56 = 294,561.56/x
  3. Step 3: Cross multiply
    193,549.50x = 294,561.56 × 294,561.56
  4. Step 4: Simplify right side
    193,549.50x = 86,766,514,102.44
  5. Step 5: Solve for x
    x = 86,766,514,102.44/193,549.50
  6. Step 6: Final answer
    x = 448,291.08

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.