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Finding the Third Proportional to 142,333 and 308,041

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Solution

The third proportional to 142,333 and 308,041 is: 666,670.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,333 : 308,041 = 308,041 : x
  2. Step 2: Convert to fraction form
    142,333/308,041 = 308,041/x
  3. Step 3: Cross multiply
    142,333x = 308,041 × 308,041
  4. Step 4: Simplify right side
    142,333x = 94,889,257,681
  5. Step 5: Solve for x
    x = 94,889,257,681/142,333
  6. Step 6: Final answer
    x = 666,670.82

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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.