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Finding the Third Proportional to 194,851.13 and 310,286.25

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Solution

The third proportional to 194,851.13 and 310,286.25 is: 494,108.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,851.13 : 310,286.25 = 310,286.25 : x
  2. Step 2: Convert to fraction form
    194,851.13/310,286.25 = 310,286.25/x
  3. Step 3: Cross multiply
    194,851.13x = 310,286.25 × 310,286.25
  4. Step 4: Simplify right side
    194,851.13x = 96,277,556,939.06
  5. Step 5: Solve for x
    x = 96,277,556,939.06/194,851.13
  6. Step 6: Final answer
    x = 494,108.29

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.