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Finding the Third Proportional to 168,063 and 362,866.50

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Solution

The third proportional to 168,063 and 362,866.50 is: 783,468.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,063 : 362,866.50 = 362,866.50 : x
  2. Step 2: Convert to fraction form
    168,063/362,866.50 = 362,866.50/x
  3. Step 3: Cross multiply
    168,063x = 362,866.50 × 362,866.50
  4. Step 4: Simplify right side
    168,063x = 131,672,096,822.25
  5. Step 5: Solve for x
    x = 131,672,096,822.25/168,063
  6. Step 6: Final answer
    x = 783,468.68

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.