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Finding the Third Proportional to 154,211.50 and 241,967.50

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Solution

The third proportional to 154,211.50 and 241,967.50 is: 379,662.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,211.50 : 241,967.50 = 241,967.50 : x
  2. Step 2: Convert to fraction form
    154,211.50/241,967.50 = 241,967.50/x
  3. Step 3: Cross multiply
    154,211.50x = 241,967.50 × 241,967.50
  4. Step 4: Simplify right side
    154,211.50x = 58,548,271,056.25
  5. Step 5: Solve for x
    x = 58,548,271,056.25/154,211.50
  6. Step 6: Final answer
    x = 379,662.16

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.