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Finding the Third Proportional to 105,158 and 229,740

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Solution

The third proportional to 105,158 and 229,740 is: 501,915.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,158 : 229,740 = 229,740 : x
  2. Step 2: Convert to fraction form
    105,158/229,740 = 229,740/x
  3. Step 3: Cross multiply
    105,158x = 229,740 × 229,740
  4. Step 4: Simplify right side
    105,158x = 52,780,467,600
  5. Step 5: Solve for x
    x = 52,780,467,600/105,158
  6. Step 6: Final answer
    x = 501,915.86

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.