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Finding the Third Proportional to 149,854 and 321,083

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Solution

The third proportional to 149,854 and 321,083 is: 687,964.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,854 : 321,083 = 321,083 : x
  2. Step 2: Convert to fraction form
    149,854/321,083 = 321,083/x
  3. Step 3: Cross multiply
    149,854x = 321,083 × 321,083
  4. Step 4: Simplify right side
    149,854x = 103,094,292,889
  5. Step 5: Solve for x
    x = 103,094,292,889/149,854
  6. Step 6: Final answer
    x = 687,964.91

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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.