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Finding the Third Proportional to 194,041.50 and 417,592.50

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Solution

The third proportional to 194,041.50 and 417,592.50 is: 898,691.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,041.50 : 417,592.50 = 417,592.50 : x
  2. Step 2: Convert to fraction form
    194,041.50/417,592.50 = 417,592.50/x
  3. Step 3: Cross multiply
    194,041.50x = 417,592.50 × 417,592.50
  4. Step 4: Simplify right side
    194,041.50x = 174,383,496,056.25
  5. Step 5: Solve for x
    x = 174,383,496,056.25/194,041.50
  6. Step 6: Final answer
    x = 898,691.75

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Why These Related Problems?

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