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Finding the Third Proportional to 146,408 and 321,324

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Solution

The third proportional to 146,408 and 321,324 is: 705,214.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,408 : 321,324 = 321,324 : x
  2. Step 2: Convert to fraction form
    146,408/321,324 = 321,324/x
  3. Step 3: Cross multiply
    146,408x = 321,324 × 321,324
  4. Step 4: Simplify right side
    146,408x = 103,249,112,976
  5. Step 5: Solve for x
    x = 103,249,112,976/146,408
  6. Step 6: Final answer
    x = 705,214.97

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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.