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Finding the Third Proportional to 105,621.50 and 234,858

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Solution

The third proportional to 105,621.50 and 234,858 is: 522,225.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,621.50 : 234,858 = 234,858 : x
  2. Step 2: Convert to fraction form
    105,621.50/234,858 = 234,858/x
  3. Step 3: Cross multiply
    105,621.50x = 234,858 × 234,858
  4. Step 4: Simplify right side
    105,621.50x = 55,158,280,164
  5. Step 5: Solve for x
    x = 55,158,280,164/105,621.50
  6. Step 6: Final answer
    x = 522,225.87

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.