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Finding the Third Proportional to 123,419 and 266,032

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Solution

The third proportional to 123,419 and 266,032 is: 573,437.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,419 : 266,032 = 266,032 : x
  2. Step 2: Convert to fraction form
    123,419/266,032 = 266,032/x
  3. Step 3: Cross multiply
    123,419x = 266,032 × 266,032
  4. Step 4: Simplify right side
    123,419x = 70,773,025,024
  5. Step 5: Solve for x
    x = 70,773,025,024/123,419
  6. Step 6: Final answer
    x = 573,437.03

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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.