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Finding the Third Proportional to 194,203.50 and 298,096.50

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Solution

The third proportional to 194,203.50 and 298,096.50 is: 457,569.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,203.50 : 298,096.50 = 298,096.50 : x
  2. Step 2: Convert to fraction form
    194,203.50/298,096.50 = 298,096.50/x
  3. Step 3: Cross multiply
    194,203.50x = 298,096.50 × 298,096.50
  4. Step 4: Simplify right side
    194,203.50x = 88,861,523,312.25
  5. Step 5: Solve for x
    x = 88,861,523,312.25/194,203.50
  6. Step 6: Final answer
    x = 457,569.11

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.