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Finding the Third Proportional to 153,257.06 and 334,103.48

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Solution

The third proportional to 153,257.06 and 334,103.48 is: 728,352.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,257.06 : 334,103.48 = 334,103.48 : x
  2. Step 2: Convert to fraction form
    153,257.06/334,103.48 = 334,103.48/x
  3. Step 3: Cross multiply
    153,257.06x = 334,103.48 × 334,103.48
  4. Step 4: Simplify right side
    153,257.06x = 111,625,138,271.52
  5. Step 5: Solve for x
    x = 111,625,138,271.52/153,257.06
  6. Step 6: Final answer
    x = 728,352.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.