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Finding the Third Proportional to 238,051.50 and 315,929.25

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Solution

The third proportional to 238,051.50 and 315,929.25 is: 419,284.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,051.50 : 315,929.25 = 315,929.25 : x
  2. Step 2: Convert to fraction form
    238,051.50/315,929.25 = 315,929.25/x
  3. Step 3: Cross multiply
    238,051.50x = 315,929.25 × 315,929.25
  4. Step 4: Simplify right side
    238,051.50x = 99,811,291,005.56
  5. Step 5: Solve for x
    x = 99,811,291,005.56/238,051.50
  6. Step 6: Final answer
    x = 419,284.44

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.