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Finding the Third Proportional to 149,377.50 and 224,302.50

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Solution

The third proportional to 149,377.50 and 224,302.50 is: 336,808.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,377.50 : 224,302.50 = 224,302.50 : x
  2. Step 2: Convert to fraction form
    149,377.50/224,302.50 = 224,302.50/x
  3. Step 3: Cross multiply
    149,377.50x = 224,302.50 × 224,302.50
  4. Step 4: Simplify right side
    149,377.50x = 50,311,611,506.25
  5. Step 5: Solve for x
    x = 50,311,611,506.25/149,377.50
  6. Step 6: Final answer
    x = 336,808.50

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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.