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Finding the Third Proportional to 194,302.88 and 458,019.38

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Solution

The third proportional to 194,302.88 and 458,019.38 is: 1,079,663.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,302.88 : 458,019.38 = 458,019.38 : x
  2. Step 2: Convert to fraction form
    194,302.88/458,019.38 = 458,019.38/x
  3. Step 3: Cross multiply
    194,302.88x = 458,019.38 × 458,019.38
  4. Step 4: Simplify right side
    194,302.88x = 209,781,747,875.39
  5. Step 5: Solve for x
    x = 209,781,747,875.39/194,302.88
  6. Step 6: Final answer
    x = 1,079,663.63

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.