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Finding the Third Proportional to 151,665.75 and 328,203.75

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Solution

The third proportional to 151,665.75 and 328,203.75 is: 710,230.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,665.75 : 328,203.75 = 328,203.75 : x
  2. Step 2: Convert to fraction form
    151,665.75/328,203.75 = 328,203.75/x
  3. Step 3: Cross multiply
    151,665.75x = 328,203.75 × 328,203.75
  4. Step 4: Simplify right side
    151,665.75x = 107,717,701,514.06
  5. Step 5: Solve for x
    x = 107,717,701,514.06/151,665.75
  6. Step 6: Final answer
    x = 710,230.90

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.