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Finding the Third Proportional to 158,952 and 222,804

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Solution

The third proportional to 158,952 and 222,804 is: 312,305.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,952 : 222,804 = 222,804 : x
  2. Step 2: Convert to fraction form
    158,952/222,804 = 222,804/x
  3. Step 3: Cross multiply
    158,952x = 222,804 × 222,804
  4. Step 4: Simplify right side
    158,952x = 49,641,622,416
  5. Step 5: Solve for x
    x = 49,641,622,416/158,952
  6. Step 6: Final answer
    x = 312,305.74

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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.