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Finding the Third Proportional to 247,963.50 and 370,984.50

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Solution

The third proportional to 247,963.50 and 370,984.50 is: 555,039.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,963.50 : 370,984.50 = 370,984.50 : x
  2. Step 2: Convert to fraction form
    247,963.50/370,984.50 = 370,984.50/x
  3. Step 3: Cross multiply
    247,963.50x = 370,984.50 × 370,984.50
  4. Step 4: Simplify right side
    247,963.50x = 137,629,499,240.25
  5. Step 5: Solve for x
    x = 137,629,499,240.25/247,963.50
  6. Step 6: Final answer
    x = 555,039.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.