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Finding the Third Proportional to 122,430 and 255,933

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Solution

The third proportional to 122,430 and 255,933 is: 535,013.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,430 : 255,933 = 255,933 : x
  2. Step 2: Convert to fraction form
    122,430/255,933 = 255,933/x
  3. Step 3: Cross multiply
    122,430x = 255,933 × 255,933
  4. Step 4: Simplify right side
    122,430x = 65,501,700,489
  5. Step 5: Solve for x
    x = 65,501,700,489/122,430
  6. Step 6: Final answer
    x = 535,013.48

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.