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Finding the Third Proportional to 170,994 and 370,968

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Solution

The third proportional to 170,994 and 370,968 is: 804,807.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,994 : 370,968 = 370,968 : x
  2. Step 2: Convert to fraction form
    170,994/370,968 = 370,968/x
  3. Step 3: Cross multiply
    170,994x = 370,968 × 370,968
  4. Step 4: Simplify right side
    170,994x = 137,617,257,024
  5. Step 5: Solve for x
    x = 137,617,257,024/170,994
  6. Step 6: Final answer
    x = 804,807.52

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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.