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Finding the Third Proportional to 154,116 and 225,841.50

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Solution

The third proportional to 154,116 and 225,841.50 is: 330,948.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,116 : 225,841.50 = 225,841.50 : x
  2. Step 2: Convert to fraction form
    154,116/225,841.50 = 225,841.50/x
  3. Step 3: Cross multiply
    154,116x = 225,841.50 × 225,841.50
  4. Step 4: Simplify right side
    154,116x = 51,004,383,122.25
  5. Step 5: Solve for x
    x = 51,004,383,122.25/154,116
  6. Step 6: Final answer
    x = 330,948.01

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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.