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Finding the Third Proportional to 154,468.50 and 360,880.50

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Solution

The third proportional to 154,468.50 and 360,880.50 is: 843,115.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,468.50 : 360,880.50 = 360,880.50 : x
  2. Step 2: Convert to fraction form
    154,468.50/360,880.50 = 360,880.50/x
  3. Step 3: Cross multiply
    154,468.50x = 360,880.50 × 360,880.50
  4. Step 4: Simplify right side
    154,468.50x = 130,234,735,280.25
  5. Step 5: Solve for x
    x = 130,234,735,280.25/154,468.50
  6. Step 6: Final answer
    x = 843,115.17

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.