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Finding the Third Proportional to 194,149.50 and 453,453

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Solution

The third proportional to 194,149.50 and 453,453 is: 1,059,078.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,149.50 : 453,453 = 453,453 : x
  2. Step 2: Convert to fraction form
    194,149.50/453,453 = 453,453/x
  3. Step 3: Cross multiply
    194,149.50x = 453,453 × 453,453
  4. Step 4: Simplify right side
    194,149.50x = 205,619,623,209
  5. Step 5: Solve for x
    x = 205,619,623,209/194,149.50
  6. Step 6: Final answer
    x = 1,059,078.82

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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.