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Finding the Third Proportional to 202,157 and 239,063

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Solution

The third proportional to 202,157 and 239,063 is: 282,706.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,157 : 239,063 = 239,063 : x
  2. Step 2: Convert to fraction form
    202,157/239,063 = 239,063/x
  3. Step 3: Cross multiply
    202,157x = 239,063 × 239,063
  4. Step 4: Simplify right side
    202,157x = 57,151,117,969
  5. Step 5: Solve for x
    x = 57,151,117,969/202,157
  6. Step 6: Final answer
    x = 282,706.60

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.