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Finding the Third Proportional to 149,816 and 320,955

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Solution

The third proportional to 149,816 and 320,955 is: 687,590.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,816 : 320,955 = 320,955 : x
  2. Step 2: Convert to fraction form
    149,816/320,955 = 320,955/x
  3. Step 3: Cross multiply
    149,816x = 320,955 × 320,955
  4. Step 4: Simplify right side
    149,816x = 103,012,112,025
  5. Step 5: Solve for x
    x = 103,012,112,025/149,816
  6. Step 6: Final answer
    x = 687,590.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.