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Finding the Third Proportional to 194,281.50 and 419,176.50

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Solution

The third proportional to 194,281.50 and 419,176.50 is: 904,403.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,281.50 : 419,176.50 = 419,176.50 : x
  2. Step 2: Convert to fraction form
    194,281.50/419,176.50 = 419,176.50/x
  3. Step 3: Cross multiply
    194,281.50x = 419,176.50 × 419,176.50
  4. Step 4: Simplify right side
    194,281.50x = 175,708,938,152.25
  5. Step 5: Solve for x
    x = 175,708,938,152.25/194,281.50
  6. Step 6: Final answer
    x = 904,403.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.