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Finding the Third Proportional to 146,989 and 321,998

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Solution

The third proportional to 146,989 and 321,998 is: 705,377.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,989 : 321,998 = 321,998 : x
  2. Step 2: Convert to fraction form
    146,989/321,998 = 321,998/x
  3. Step 3: Cross multiply
    146,989x = 321,998 × 321,998
  4. Step 4: Simplify right side
    146,989x = 103,682,712,004
  5. Step 5: Solve for x
    x = 103,682,712,004/146,989
  6. Step 6: Final answer
    x = 705,377.35

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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.