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Finding the Third Proportional to 185,803.50 and 407,202

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Solution

The third proportional to 185,803.50 and 407,202 is: 892,413.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,803.50 : 407,202 = 407,202 : x
  2. Step 2: Convert to fraction form
    185,803.50/407,202 = 407,202/x
  3. Step 3: Cross multiply
    185,803.50x = 407,202 × 407,202
  4. Step 4: Simplify right side
    185,803.50x = 165,813,468,804
  5. Step 5: Solve for x
    x = 165,813,468,804/185,803.50
  6. Step 6: Final answer
    x = 892,413.05

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.