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Finding the Third Proportional to 236,454.19 and 357,134.06

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Solution

The third proportional to 236,454.19 and 357,134.06 is: 539,405.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,454.19 : 357,134.06 = 357,134.06 : x
  2. Step 2: Convert to fraction form
    236,454.19/357,134.06 = 357,134.06/x
  3. Step 3: Cross multiply
    236,454.19x = 357,134.06 × 357,134.06
  4. Step 4: Simplify right side
    236,454.19x = 127,544,738,597.75
  5. Step 5: Solve for x
    x = 127,544,738,597.75/236,454.19
  6. Step 6: Final answer
    x = 539,405.71

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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.