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Finding the Third Proportional to 148,051.69 and 238,429.69

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Solution

The third proportional to 148,051.69 and 238,429.69 is: 383,978.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,051.69 : 238,429.69 = 238,429.69 : x
  2. Step 2: Convert to fraction form
    148,051.69/238,429.69 = 238,429.69/x
  3. Step 3: Cross multiply
    148,051.69x = 238,429.69 × 238,429.69
  4. Step 4: Simplify right side
    148,051.69x = 56,848,715,881.35
  5. Step 5: Solve for x
    x = 56,848,715,881.35/148,051.69
  6. Step 6: Final answer
    x = 383,978.84

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.