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Finding the Third Proportional to 194,142 and 301,581

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Solution

The third proportional to 194,142 and 301,581 is: 468,477.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,142 : 301,581 = 301,581 : x
  2. Step 2: Convert to fraction form
    194,142/301,581 = 301,581/x
  3. Step 3: Cross multiply
    194,142x = 301,581 × 301,581
  4. Step 4: Simplify right side
    194,142x = 90,951,099,561
  5. Step 5: Solve for x
    x = 90,951,099,561/194,142
  6. Step 6: Final answer
    x = 468,477.19

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.