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Finding the Third Proportional to 195,554.25 and 310,827.38

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Solution

The third proportional to 195,554.25 and 310,827.38 is: 494,050.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,554.25 : 310,827.38 = 310,827.38 : x
  2. Step 2: Convert to fraction form
    195,554.25/310,827.38 = 310,827.38/x
  3. Step 3: Cross multiply
    195,554.25x = 310,827.38 × 310,827.38
  4. Step 4: Simplify right side
    195,554.25x = 96,613,657,049.39
  5. Step 5: Solve for x
    x = 96,613,657,049.39/195,554.25
  6. Step 6: Final answer
    x = 494,050.41

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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.