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Finding the Third Proportional to 123,363 and 266,301

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Solution

The third proportional to 123,363 and 266,301 is: 574,858.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,363 : 266,301 = 266,301 : x
  2. Step 2: Convert to fraction form
    123,363/266,301 = 266,301/x
  3. Step 3: Cross multiply
    123,363x = 266,301 × 266,301
  4. Step 4: Simplify right side
    123,363x = 70,916,222,601
  5. Step 5: Solve for x
    x = 70,916,222,601/123,363
  6. Step 6: Final answer
    x = 574,858.12

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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.