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Finding the Third Proportional to 122,848 and 264,588

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Solution

The third proportional to 122,848 and 264,588 is: 569,865.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,848 : 264,588 = 264,588 : x
  2. Step 2: Convert to fraction form
    122,848/264,588 = 264,588/x
  3. Step 3: Cross multiply
    122,848x = 264,588 × 264,588
  4. Step 4: Simplify right side
    122,848x = 70,006,809,744
  5. Step 5: Solve for x
    x = 70,006,809,744/122,848
  6. Step 6: Final answer
    x = 569,865.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.