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Finding the Third Proportional to 123,507 and 251,379

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Solution

The third proportional to 123,507 and 251,379 is: 511,642.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,507 : 251,379 = 251,379 : x
  2. Step 2: Convert to fraction form
    123,507/251,379 = 251,379/x
  3. Step 3: Cross multiply
    123,507x = 251,379 × 251,379
  4. Step 4: Simplify right side
    123,507x = 63,191,401,641
  5. Step 5: Solve for x
    x = 63,191,401,641/123,507
  6. Step 6: Final answer
    x = 511,642.27

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.