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Finding the Third Proportional to 194,933.25 and 310,143.38

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Solution

The third proportional to 194,933.25 and 310,143.38 is: 493,445.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,933.25 : 310,143.38 = 310,143.38 : x
  2. Step 2: Convert to fraction form
    194,933.25/310,143.38 = 310,143.38/x
  3. Step 3: Cross multiply
    194,933.25x = 310,143.38 × 310,143.38
  4. Step 4: Simplify right side
    194,933.25x = 96,188,913,056.39
  5. Step 5: Solve for x
    x = 96,188,913,056.39/194,933.25
  6. Step 6: Final answer
    x = 493,445.39

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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.