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Finding the Third Proportional to 248,974 and 377,222

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Solution

The third proportional to 248,974 and 377,222 is: 571,531.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,974 : 377,222 = 377,222 : x
  2. Step 2: Convert to fraction form
    248,974/377,222 = 377,222/x
  3. Step 3: Cross multiply
    248,974x = 377,222 × 377,222
  4. Step 4: Simplify right side
    248,974x = 142,296,437,284
  5. Step 5: Solve for x
    x = 142,296,437,284/248,974
  6. Step 6: Final answer
    x = 571,531.31

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.