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Finding the Third Proportional to 152,339.63 and 334,217.25

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Solution

The third proportional to 152,339.63 and 334,217.25 is: 733,237.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,339.63 : 334,217.25 = 334,217.25 : x
  2. Step 2: Convert to fraction form
    152,339.63/334,217.25 = 334,217.25/x
  3. Step 3: Cross multiply
    152,339.63x = 334,217.25 × 334,217.25
  4. Step 4: Simplify right side
    152,339.63x = 111,701,170,197.56
  5. Step 5: Solve for x
    x = 111,701,170,197.56/152,339.63
  6. Step 6: Final answer
    x = 733,237.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.