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Finding the Third Proportional to 158,886 and 235,591.50

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Solution

The third proportional to 158,886 and 235,591.50 is: 349,328.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,886 : 235,591.50 = 235,591.50 : x
  2. Step 2: Convert to fraction form
    158,886/235,591.50 = 235,591.50/x
  3. Step 3: Cross multiply
    158,886x = 235,591.50 × 235,591.50
  4. Step 4: Simplify right side
    158,886x = 55,503,354,872.25
  5. Step 5: Solve for x
    x = 55,503,354,872.25/158,886
  6. Step 6: Final answer
    x = 349,328.17

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.