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Finding the Third Proportional to 240,948 and 322,002

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Solution

The third proportional to 240,948 and 322,002 is: 430,322.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,948 : 322,002 = 322,002 : x
  2. Step 2: Convert to fraction form
    240,948/322,002 = 322,002/x
  3. Step 3: Cross multiply
    240,948x = 322,002 × 322,002
  4. Step 4: Simplify right side
    240,948x = 103,685,288,004
  5. Step 5: Solve for x
    x = 103,685,288,004/240,948
  6. Step 6: Final answer
    x = 430,322.26

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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.