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Finding the Third Proportional to 194,154 and 453,463.50

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Solution

The third proportional to 194,154 and 453,463.50 is: 1,059,103.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,154 : 453,463.50 = 453,463.50 : x
  2. Step 2: Convert to fraction form
    194,154/453,463.50 = 453,463.50/x
  3. Step 3: Cross multiply
    194,154x = 453,463.50 × 453,463.50
  4. Step 4: Simplify right side
    194,154x = 205,629,145,832.25
  5. Step 5: Solve for x
    x = 205,629,145,832.25/194,154
  6. Step 6: Final answer
    x = 1,059,103.32

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.