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Finding the Third Proportional to 240,573 and 336,333

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Solution

The third proportional to 240,573 and 336,333 is: 470,210.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,573 : 336,333 = 336,333 : x
  2. Step 2: Convert to fraction form
    240,573/336,333 = 336,333/x
  3. Step 3: Cross multiply
    240,573x = 336,333 × 336,333
  4. Step 4: Simplify right side
    240,573x = 113,119,886,889
  5. Step 5: Solve for x
    x = 113,119,886,889/240,573
  6. Step 6: Final answer
    x = 470,210.24

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.