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Finding the Third Proportional to 173,947 and 248,080

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Solution

The third proportional to 173,947 and 248,080 is: 353,807.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,947 : 248,080 = 248,080 : x
  2. Step 2: Convert to fraction form
    173,947/248,080 = 248,080/x
  3. Step 3: Cross multiply
    173,947x = 248,080 × 248,080
  4. Step 4: Simplify right side
    173,947x = 61,543,686,400
  5. Step 5: Solve for x
    x = 61,543,686,400/173,947
  6. Step 6: Final answer
    x = 353,807.12

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.