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Finding the Third Proportional to 240,762 and 322,101

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Solution

The third proportional to 240,762 and 322,101 is: 430,919.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,762 : 322,101 = 322,101 : x
  2. Step 2: Convert to fraction form
    240,762/322,101 = 322,101/x
  3. Step 3: Cross multiply
    240,762x = 322,101 × 322,101
  4. Step 4: Simplify right side
    240,762x = 103,749,054,201
  5. Step 5: Solve for x
    x = 103,749,054,201/240,762
  6. Step 6: Final answer
    x = 430,919.56

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.