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Finding the Third Proportional to 170,896 and 373,954

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Solution

The third proportional to 170,896 and 373,954 is: 818,284.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,896 : 373,954 = 373,954 : x
  2. Step 2: Convert to fraction form
    170,896/373,954 = 373,954/x
  3. Step 3: Cross multiply
    170,896x = 373,954 × 373,954
  4. Step 4: Simplify right side
    170,896x = 139,841,594,116
  5. Step 5: Solve for x
    x = 139,841,594,116/170,896
  6. Step 6: Final answer
    x = 818,284.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.