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Finding the Third Proportional to 281,136 and 449,640

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Solution

The third proportional to 281,136 and 449,640 is: 719,139.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,136 : 449,640 = 449,640 : x
  2. Step 2: Convert to fraction form
    281,136/449,640 = 449,640/x
  3. Step 3: Cross multiply
    281,136x = 449,640 × 449,640
  4. Step 4: Simplify right side
    281,136x = 202,176,129,600
  5. Step 5: Solve for x
    x = 202,176,129,600/281,136
  6. Step 6: Final answer
    x = 719,139.95

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.