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Finding the Third Proportional to 236,835 and 333,549.50

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Solution

The third proportional to 236,835 and 333,549.50 is: 469,758.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,835 : 333,549.50 = 333,549.50 : x
  2. Step 2: Convert to fraction form
    236,835/333,549.50 = 333,549.50/x
  3. Step 3: Cross multiply
    236,835x = 333,549.50 × 333,549.50
  4. Step 4: Simplify right side
    236,835x = 111,255,268,950.25
  5. Step 5: Solve for x
    x = 111,255,268,950.25/236,835
  6. Step 6: Final answer
    x = 469,758.56

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.