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Finding the Third Proportional to 199,232 and 299,064

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Solution

The third proportional to 199,232 and 299,064 is: 448,920.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,232 : 299,064 = 299,064 : x
  2. Step 2: Convert to fraction form
    199,232/299,064 = 299,064/x
  3. Step 3: Cross multiply
    199,232x = 299,064 × 299,064
  4. Step 4: Simplify right side
    199,232x = 89,439,276,096
  5. Step 5: Solve for x
    x = 89,439,276,096/199,232
  6. Step 6: Final answer
    x = 448,920.23

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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.