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Finding the Third Proportional to 174,870 and 221,804.50

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Solution

The third proportional to 174,870 and 221,804.50 is: 281,336.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,870 : 221,804.50 = 221,804.50 : x
  2. Step 2: Convert to fraction form
    174,870/221,804.50 = 221,804.50/x
  3. Step 3: Cross multiply
    174,870x = 221,804.50 × 221,804.50
  4. Step 4: Simplify right side
    174,870x = 49,197,236,220.25
  5. Step 5: Solve for x
    x = 49,197,236,220.25/174,870
  6. Step 6: Final answer
    x = 281,336.06

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These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.