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Finding the Third Proportional to 160,843.22 and 343,814.63

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Solution

The third proportional to 160,843.22 and 343,814.63 is: 734,929.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,843.22 : 343,814.63 = 343,814.63 : x
  2. Step 2: Convert to fraction form
    160,843.22/343,814.63 = 343,814.63/x
  3. Step 3: Cross multiply
    160,843.22x = 343,814.63 × 343,814.63
  4. Step 4: Simplify right side
    160,843.22x = 118,208,496,363.89
  5. Step 5: Solve for x
    x = 118,208,496,363.89/160,843.22
  6. Step 6: Final answer
    x = 734,929.94

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.