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Finding the Third Proportional to 299,232 and 449,156.50

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Solution

The third proportional to 299,232 and 449,156.50 is: 674,197.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,232 : 449,156.50 = 449,156.50 : x
  2. Step 2: Convert to fraction form
    299,232/449,156.50 = 449,156.50/x
  3. Step 3: Cross multiply
    299,232x = 449,156.50 × 449,156.50
  4. Step 4: Simplify right side
    299,232x = 201,741,561,492.25
  5. Step 5: Solve for x
    x = 201,741,561,492.25/299,232
  6. Step 6: Final answer
    x = 674,197.82

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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.