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Finding the Third Proportional to 262,108 and 616,148

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Solution

The third proportional to 262,108 and 616,148 is: 1,448,404.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,108 : 616,148 = 616,148 : x
  2. Step 2: Convert to fraction form
    262,108/616,148 = 616,148/x
  3. Step 3: Cross multiply
    262,108x = 616,148 × 616,148
  4. Step 4: Simplify right side
    262,108x = 379,638,357,904
  5. Step 5: Solve for x
    x = 379,638,357,904/262,108
  6. Step 6: Final answer
    x = 1,448,404.31

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.