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Finding the Third Proportional to 139,444.50 and 209,485

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Solution

The third proportional to 139,444.50 and 209,485 is: 314,705.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,444.50 : 209,485 = 209,485 : x
  2. Step 2: Convert to fraction form
    139,444.50/209,485 = 209,485/x
  3. Step 3: Cross multiply
    139,444.50x = 209,485 × 209,485
  4. Step 4: Simplify right side
    139,444.50x = 43,883,965,225
  5. Step 5: Solve for x
    x = 43,883,965,225/139,444.50
  6. Step 6: Final answer
    x = 314,705.60

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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.