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Finding the Third Proportional to 163,017 and 230,845.50

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Solution

The third proportional to 163,017 and 230,845.50 is: 326,896.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,017 : 230,845.50 = 230,845.50 : x
  2. Step 2: Convert to fraction form
    163,017/230,845.50 = 230,845.50/x
  3. Step 3: Cross multiply
    163,017x = 230,845.50 × 230,845.50
  4. Step 4: Simplify right side
    163,017x = 53,289,644,870.25
  5. Step 5: Solve for x
    x = 53,289,644,870.25/163,017
  6. Step 6: Final answer
    x = 326,896.24

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.