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Finding the Third Proportional to 194,811 and 292,216.50

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Solution

The third proportional to 194,811 and 292,216.50 is: 438,324.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,811 : 292,216.50 = 292,216.50 : x
  2. Step 2: Convert to fraction form
    194,811/292,216.50 = 292,216.50/x
  3. Step 3: Cross multiply
    194,811x = 292,216.50 × 292,216.50
  4. Step 4: Simplify right side
    194,811x = 85,390,482,872.25
  5. Step 5: Solve for x
    x = 85,390,482,872.25/194,811
  6. Step 6: Final answer
    x = 438,324.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.