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Finding the Third Proportional to 158,988 and 222,835

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Solution

The third proportional to 158,988 and 222,835 is: 312,321.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,988 : 222,835 = 222,835 : x
  2. Step 2: Convert to fraction form
    158,988/222,835 = 222,835/x
  3. Step 3: Cross multiply
    158,988x = 222,835 × 222,835
  4. Step 4: Simplify right side
    158,988x = 49,655,437,225
  5. Step 5: Solve for x
    x = 49,655,437,225/158,988
  6. Step 6: Final answer
    x = 312,321.92

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.