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Finding the Third Proportional to 213,572 and 325,760

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Solution

The third proportional to 213,572 and 325,760 is: 496,879.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,572 : 325,760 = 325,760 : x
  2. Step 2: Convert to fraction form
    213,572/325,760 = 325,760/x
  3. Step 3: Cross multiply
    213,572x = 325,760 × 325,760
  4. Step 4: Simplify right side
    213,572x = 106,119,577,600
  5. Step 5: Solve for x
    x = 106,119,577,600/213,572
  6. Step 6: Final answer
    x = 496,879.64

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.