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Finding the Third Proportional to 236,733 and 357,559.50

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Solution

The third proportional to 236,733 and 357,559.50 is: 540,054.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,733 : 357,559.50 = 357,559.50 : x
  2. Step 2: Convert to fraction form
    236,733/357,559.50 = 357,559.50/x
  3. Step 3: Cross multiply
    236,733x = 357,559.50 × 357,559.50
  4. Step 4: Simplify right side
    236,733x = 127,848,796,040.25
  5. Step 5: Solve for x
    x = 127,848,796,040.25/236,733
  6. Step 6: Final answer
    x = 540,054.81

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.