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Finding the Third Proportional to 179,816 and 371,248

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Solution

The third proportional to 179,816 and 371,248 is: 766,478.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,816 : 371,248 = 371,248 : x
  2. Step 2: Convert to fraction form
    179,816/371,248 = 371,248/x
  3. Step 3: Cross multiply
    179,816x = 371,248 × 371,248
  4. Step 4: Simplify right side
    179,816x = 137,825,077,504
  5. Step 5: Solve for x
    x = 137,825,077,504/179,816
  6. Step 6: Final answer
    x = 766,478.39

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.