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Finding the Third Proportional to 238,113 and 324,265.50

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Solution

The third proportional to 238,113 and 324,265.50 is: 441,589.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,113 : 324,265.50 = 324,265.50 : x
  2. Step 2: Convert to fraction form
    238,113/324,265.50 = 324,265.50/x
  3. Step 3: Cross multiply
    238,113x = 324,265.50 × 324,265.50
  4. Step 4: Simplify right side
    238,113x = 105,148,114,490.25
  5. Step 5: Solve for x
    x = 105,148,114,490.25/238,113
  6. Step 6: Final answer
    x = 441,589.14

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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.