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Finding the Third Proportional to 143,653.50 and 222,297

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Solution

The third proportional to 143,653.50 and 222,297 is: 343,994.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,653.50 : 222,297 = 222,297 : x
  2. Step 2: Convert to fraction form
    143,653.50/222,297 = 222,297/x
  3. Step 3: Cross multiply
    143,653.50x = 222,297 × 222,297
  4. Step 4: Simplify right side
    143,653.50x = 49,415,956,209
  5. Step 5: Solve for x
    x = 49,415,956,209/143,653.50
  6. Step 6: Final answer
    x = 343,994.10

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.