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Finding the Third Proportional to 151,738.31 and 328,080.38

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Solution

The third proportional to 151,738.31 and 328,080.38 is: 709,357.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,738.31 : 328,080.38 = 328,080.38 : x
  2. Step 2: Convert to fraction form
    151,738.31/328,080.38 = 328,080.38/x
  3. Step 3: Cross multiply
    151,738.31x = 328,080.38 × 328,080.38
  4. Step 4: Simplify right side
    151,738.31x = 107,636,732,460.14
  5. Step 5: Solve for x
    x = 107,636,732,460.14/151,738.31
  6. Step 6: Final answer
    x = 709,357.65

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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.