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Finding the Third Proportional to 191,389.50 and 412,026.75

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Solution

The third proportional to 191,389.50 and 412,026.75 is: 887,018.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,389.50 : 412,026.75 = 412,026.75 : x
  2. Step 2: Convert to fraction form
    191,389.50/412,026.75 = 412,026.75/x
  3. Step 3: Cross multiply
    191,389.50x = 412,026.75 × 412,026.75
  4. Step 4: Simplify right side
    191,389.50x = 169,766,042,715.56
  5. Step 5: Solve for x
    x = 169,766,042,715.56/191,389.50
  6. Step 6: Final answer
    x = 887,018.58

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.