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Finding the Third Proportional to 146,722 and 321,572

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Solution

The third proportional to 146,722 and 321,572 is: 704,792.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,722 : 321,572 = 321,572 : x
  2. Step 2: Convert to fraction form
    146,722/321,572 = 321,572/x
  3. Step 3: Cross multiply
    146,722x = 321,572 × 321,572
  4. Step 4: Simplify right side
    146,722x = 103,408,551,184
  5. Step 5: Solve for x
    x = 103,408,551,184/146,722
  6. Step 6: Final answer
    x = 704,792.40

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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.