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Finding the Third Proportional to 155,886 and 335,809.50

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Solution

The third proportional to 155,886 and 335,809.50 is: 723,400.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,886 : 335,809.50 = 335,809.50 : x
  2. Step 2: Convert to fraction form
    155,886/335,809.50 = 335,809.50/x
  3. Step 3: Cross multiply
    155,886x = 335,809.50 × 335,809.50
  4. Step 4: Simplify right side
    155,886x = 112,768,020,290.25
  5. Step 5: Solve for x
    x = 112,768,020,290.25/155,886
  6. Step 6: Final answer
    x = 723,400.56

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.