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Finding the Third Proportional to 192,852 and 294,172.50

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Solution

The third proportional to 192,852 and 294,172.50 is: 448,724.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,852 : 294,172.50 = 294,172.50 : x
  2. Step 2: Convert to fraction form
    192,852/294,172.50 = 294,172.50/x
  3. Step 3: Cross multiply
    192,852x = 294,172.50 × 294,172.50
  4. Step 4: Simplify right side
    192,852x = 86,537,459,756.25
  5. Step 5: Solve for x
    x = 86,537,459,756.25/192,852
  6. Step 6: Final answer
    x = 448,724.72

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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.