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Finding the Third Proportional to 183,847.50 and 253,170

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Solution

The third proportional to 183,847.50 and 253,170 is: 348,631.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,847.50 : 253,170 = 253,170 : x
  2. Step 2: Convert to fraction form
    183,847.50/253,170 = 253,170/x
  3. Step 3: Cross multiply
    183,847.50x = 253,170 × 253,170
  4. Step 4: Simplify right side
    183,847.50x = 64,095,048,900
  5. Step 5: Solve for x
    x = 64,095,048,900/183,847.50
  6. Step 6: Final answer
    x = 348,631.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.