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Finding the Third Proportional to 208,306 and 446,136

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Solution

The third proportional to 208,306 and 446,136 is: 955,504.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,306 : 446,136 = 446,136 : x
  2. Step 2: Convert to fraction form
    208,306/446,136 = 446,136/x
  3. Step 3: Cross multiply
    208,306x = 446,136 × 446,136
  4. Step 4: Simplify right side
    208,306x = 199,037,330,496
  5. Step 5: Solve for x
    x = 199,037,330,496/208,306
  6. Step 6: Final answer
    x = 955,504.55

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.