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Finding the Third Proportional to 160,106.63 and 344,953.69

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Solution

The third proportional to 160,106.63 and 344,953.69 is: 743,211.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,106.63 : 344,953.69 = 344,953.69 : x
  2. Step 2: Convert to fraction form
    160,106.63/344,953.69 = 344,953.69/x
  3. Step 3: Cross multiply
    160,106.63x = 344,953.69 × 344,953.69
  4. Step 4: Simplify right side
    160,106.63x = 118,993,046,519.85
  5. Step 5: Solve for x
    x = 118,993,046,519.85/160,106.63
  6. Step 6: Final answer
    x = 743,211.26

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.