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Finding the Third Proportional to 142,635.94 and 301,188.38

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Solution

The third proportional to 142,635.94 and 301,188.38 is: 635,985.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,635.94 : 301,188.38 = 301,188.38 : x
  2. Step 2: Convert to fraction form
    142,635.94/301,188.38 = 301,188.38/x
  3. Step 3: Cross multiply
    142,635.94x = 301,188.38 × 301,188.38
  4. Step 4: Simplify right side
    142,635.94x = 90,714,437,235.14
  5. Step 5: Solve for x
    x = 90,714,437,235.14/142,635.94
  6. Step 6: Final answer
    x = 635,985.84

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.