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Finding the Third Proportional to 154,968 and 227,143.50

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Solution

The third proportional to 154,968 and 227,143.50 is: 332,934.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,968 : 227,143.50 = 227,143.50 : x
  2. Step 2: Convert to fraction form
    154,968/227,143.50 = 227,143.50/x
  3. Step 3: Cross multiply
    154,968x = 227,143.50 × 227,143.50
  4. Step 4: Simplify right side
    154,968x = 51,594,169,592.25
  5. Step 5: Solve for x
    x = 51,594,169,592.25/154,968
  6. Step 6: Final answer
    x = 332,934.35

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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.