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Finding the Third Proportional to 128,669.06 and 283,514.06

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Solution

The third proportional to 128,669.06 and 283,514.06 is: 624,705.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,669.06 : 283,514.06 = 283,514.06 : x
  2. Step 2: Convert to fraction form
    128,669.06/283,514.06 = 283,514.06/x
  3. Step 3: Cross multiply
    128,669.06x = 283,514.06 × 283,514.06
  4. Step 4: Simplify right side
    128,669.06x = 80,380,223,635.25
  5. Step 5: Solve for x
    x = 80,380,223,635.25/128,669.06
  6. Step 6: Final answer
    x = 624,705.13

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