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Finding the Third Proportional to 122,984 and 270,664

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Solution

The third proportional to 122,984 and 270,664 is: 595,679.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,984 : 270,664 = 270,664 : x
  2. Step 2: Convert to fraction form
    122,984/270,664 = 270,664/x
  3. Step 3: Cross multiply
    122,984x = 270,664 × 270,664
  4. Step 4: Simplify right side
    122,984x = 73,259,000,896
  5. Step 5: Solve for x
    x = 73,259,000,896/122,984
  6. Step 6: Final answer
    x = 595,679.12

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.