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Finding the Third Proportional to 254,260 and 371,843

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Solution

The third proportional to 254,260 and 371,843 is: 543,802.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,260 : 371,843 = 371,843 : x
  2. Step 2: Convert to fraction form
    254,260/371,843 = 371,843/x
  3. Step 3: Cross multiply
    254,260x = 371,843 × 371,843
  4. Step 4: Simplify right side
    254,260x = 138,267,216,649
  5. Step 5: Solve for x
    x = 138,267,216,649/254,260
  6. Step 6: Final answer
    x = 543,802.47

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.