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Finding the Third Proportional to 150,741 and 228,055.50

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Solution

The third proportional to 150,741 and 228,055.50 is: 345,024.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,741 : 228,055.50 = 228,055.50 : x
  2. Step 2: Convert to fraction form
    150,741/228,055.50 = 228,055.50/x
  3. Step 3: Cross multiply
    150,741x = 228,055.50 × 228,055.50
  4. Step 4: Simplify right side
    150,741x = 52,009,311,080.25
  5. Step 5: Solve for x
    x = 52,009,311,080.25/150,741
  6. Step 6: Final answer
    x = 345,024.32

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.