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Finding the Third Proportional to 122,196.38 and 255,566.25

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Solution

The third proportional to 122,196.38 and 255,566.25 is: 534,501.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,196.38 : 255,566.25 = 255,566.25 : x
  2. Step 2: Convert to fraction form
    122,196.38/255,566.25 = 255,566.25/x
  3. Step 3: Cross multiply
    122,196.38x = 255,566.25 × 255,566.25
  4. Step 4: Simplify right side
    122,196.38x = 65,314,108,139.06
  5. Step 5: Solve for x
    x = 65,314,108,139.06/122,196.38
  6. Step 6: Final answer
    x = 534,501.19

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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.