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Finding the Third Proportional to 194,432 and 299,939.25

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Solution

The third proportional to 194,432 and 299,939.25 is: 462,699.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,432 : 299,939.25 = 299,939.25 : x
  2. Step 2: Convert to fraction form
    194,432/299,939.25 = 299,939.25/x
  3. Step 3: Cross multiply
    194,432x = 299,939.25 × 299,939.25
  4. Step 4: Simplify right side
    194,432x = 89,963,553,690.56
  5. Step 5: Solve for x
    x = 89,963,553,690.56/194,432
  6. Step 6: Final answer
    x = 462,699.32

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.