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Finding the Third Proportional to 142,663.78 and 301,240.27

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Solution

The third proportional to 142,663.78 and 301,240.27 is: 636,080.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,663.78 : 301,240.27 = 301,240.27 : x
  2. Step 2: Convert to fraction form
    142,663.78/301,240.27 = 301,240.27/x
  3. Step 3: Cross multiply
    142,663.78x = 301,240.27 × 301,240.27
  4. Step 4: Simplify right side
    142,663.78x = 90,745,697,633.82
  5. Step 5: Solve for x
    x = 90,745,697,633.82/142,663.78
  6. Step 6: Final answer
    x = 636,080.84

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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.