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Finding the Third Proportional to 238,457.75 and 323,808.42

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Solution

The third proportional to 238,457.75 and 323,808.42 is: 439,708.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,457.75 : 323,808.42 = 323,808.42 : x
  2. Step 2: Convert to fraction form
    238,457.75/323,808.42 = 323,808.42/x
  3. Step 3: Cross multiply
    238,457.75x = 323,808.42 × 323,808.42
  4. Step 4: Simplify right side
    238,457.75x = 104,851,890,282.55
  5. Step 5: Solve for x
    x = 104,851,890,282.55/238,457.75
  6. Step 6: Final answer
    x = 439,708.46

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.