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Finding the Third Proportional to 153,054.75 and 357,408.75

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Solution

The third proportional to 153,054.75 and 357,408.75 is: 834,609.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,054.75 : 357,408.75 = 357,408.75 : x
  2. Step 2: Convert to fraction form
    153,054.75/357,408.75 = 357,408.75/x
  3. Step 3: Cross multiply
    153,054.75x = 357,408.75 × 357,408.75
  4. Step 4: Simplify right side
    153,054.75x = 127,741,014,576.56
  5. Step 5: Solve for x
    x = 127,741,014,576.56/153,054.75
  6. Step 6: Final answer
    x = 834,609.93

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.