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Finding the Third Proportional to 141,316.50 and 307,175.25

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Solution

The third proportional to 141,316.50 and 307,175.25 is: 667,697.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,316.50 : 307,175.25 = 307,175.25 : x
  2. Step 2: Convert to fraction form
    141,316.50/307,175.25 = 307,175.25/x
  3. Step 3: Cross multiply
    141,316.50x = 307,175.25 × 307,175.25
  4. Step 4: Simplify right side
    141,316.50x = 94,356,634,212.56
  5. Step 5: Solve for x
    x = 94,356,634,212.56/141,316.50
  6. Step 6: Final answer
    x = 667,697.22

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.