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Finding the Third Proportional to 122,783 and 264,460

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Solution

The third proportional to 122,783 and 264,460 is: 569,615.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,783 : 264,460 = 264,460 : x
  2. Step 2: Convert to fraction form
    122,783/264,460 = 264,460/x
  3. Step 3: Cross multiply
    122,783x = 264,460 × 264,460
  4. Step 4: Simplify right side
    122,783x = 69,939,091,600
  5. Step 5: Solve for x
    x = 69,939,091,600/122,783
  6. Step 6: Final answer
    x = 569,615.43

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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.