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Finding the Third Proportional to 123,504 and 266,200

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Solution

The third proportional to 123,504 and 266,200 is: 573,766.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,504 : 266,200 = 266,200 : x
  2. Step 2: Convert to fraction form
    123,504/266,200 = 266,200/x
  3. Step 3: Cross multiply
    123,504x = 266,200 × 266,200
  4. Step 4: Simplify right side
    123,504x = 70,862,440,000
  5. Step 5: Solve for x
    x = 70,862,440,000/123,504
  6. Step 6: Final answer
    x = 573,766.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.