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Finding the Third Proportional to 137,994 and 281,212.50

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Solution

The third proportional to 137,994 and 281,212.50 is: 573,071.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,994 : 281,212.50 = 281,212.50 : x
  2. Step 2: Convert to fraction form
    137,994/281,212.50 = 281,212.50/x
  3. Step 3: Cross multiply
    137,994x = 281,212.50 × 281,212.50
  4. Step 4: Simplify right side
    137,994x = 79,080,470,156.25
  5. Step 5: Solve for x
    x = 79,080,470,156.25/137,994
  6. Step 6: Final answer
    x = 573,071.80

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.