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Finding the Third Proportional to 163,407 and 231,232.50

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Solution

The third proportional to 163,407 and 231,232.50 is: 327,210.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,407 : 231,232.50 = 231,232.50 : x
  2. Step 2: Convert to fraction form
    163,407/231,232.50 = 231,232.50/x
  3. Step 3: Cross multiply
    163,407x = 231,232.50 × 231,232.50
  4. Step 4: Simplify right side
    163,407x = 53,468,469,056.25
  5. Step 5: Solve for x
    x = 53,468,469,056.25/163,407
  6. Step 6: Final answer
    x = 327,210.40

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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.