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Finding the Third Proportional to 155,128.50 and 227,763

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Solution

The third proportional to 155,128.50 and 227,763 is: 334,406.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,128.50 : 227,763 = 227,763 : x
  2. Step 2: Convert to fraction form
    155,128.50/227,763 = 227,763/x
  3. Step 3: Cross multiply
    155,128.50x = 227,763 × 227,763
  4. Step 4: Simplify right side
    155,128.50x = 51,875,984,169
  5. Step 5: Solve for x
    x = 51,875,984,169/155,128.50
  6. Step 6: Final answer
    x = 334,406.54

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.