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Finding the Third Proportional to 123,633 and 266,973

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Solution

The third proportional to 123,633 and 266,973 is: 576,501.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,633 : 266,973 = 266,973 : x
  2. Step 2: Convert to fraction form
    123,633/266,973 = 266,973/x
  3. Step 3: Cross multiply
    123,633x = 266,973 × 266,973
  4. Step 4: Simplify right side
    123,633x = 71,274,582,729
  5. Step 5: Solve for x
    x = 71,274,582,729/123,633
  6. Step 6: Final answer
    x = 576,501.28

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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.