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Finding the Third Proportional to 171,806.06 and 262,812.09

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Solution

The third proportional to 171,806.06 and 262,812.09 is: 402,024.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,806.06 : 262,812.09 = 262,812.09 : x
  2. Step 2: Convert to fraction form
    171,806.06/262,812.09 = 262,812.09/x
  3. Step 3: Cross multiply
    171,806.06x = 262,812.09 × 262,812.09
  4. Step 4: Simplify right side
    171,806.06x = 69,070,196,621.26
  5. Step 5: Solve for x
    x = 69,070,196,621.26/171,806.06
  6. Step 6: Final answer
    x = 402,024.21

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.