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Finding the Third Proportional to 123,637 and 264,769

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Solution

The third proportional to 123,637 and 264,769 is: 567,003.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,637 : 264,769 = 264,769 : x
  2. Step 2: Convert to fraction form
    123,637/264,769 = 264,769/x
  3. Step 3: Cross multiply
    123,637x = 264,769 × 264,769
  4. Step 4: Simplify right side
    123,637x = 70,102,623,361
  5. Step 5: Solve for x
    x = 70,102,623,361/123,637
  6. Step 6: Final answer
    x = 567,003.59

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.