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Finding the Third Proportional to 171,364 and 371,888

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Solution

The third proportional to 171,364 and 371,888 is: 807,057.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,364 : 371,888 = 371,888 : x
  2. Step 2: Convert to fraction form
    171,364/371,888 = 371,888/x
  3. Step 3: Cross multiply
    171,364x = 371,888 × 371,888
  4. Step 4: Simplify right side
    171,364x = 138,300,684,544
  5. Step 5: Solve for x
    x = 138,300,684,544/171,364
  6. Step 6: Final answer
    x = 807,057.99

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.