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Finding the Third Proportional to 160,042 and 344,888

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Solution

The third proportional to 160,042 and 344,888 is: 743,228.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,042 : 344,888 = 344,888 : x
  2. Step 2: Convert to fraction form
    160,042/344,888 = 344,888/x
  3. Step 3: Cross multiply
    160,042x = 344,888 × 344,888
  4. Step 4: Simplify right side
    160,042x = 118,947,732,544
  5. Step 5: Solve for x
    x = 118,947,732,544/160,042
  6. Step 6: Final answer
    x = 743,228.23

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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.