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Finding the Third Proportional to 240,569 and 336,331

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Solution

The third proportional to 240,569 and 336,331 is: 470,212.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,569 : 336,331 = 336,331 : x
  2. Step 2: Convert to fraction form
    240,569/336,331 = 336,331/x
  3. Step 3: Cross multiply
    240,569x = 336,331 × 336,331
  4. Step 4: Simplify right side
    240,569x = 113,118,541,561
  5. Step 5: Solve for x
    x = 113,118,541,561/240,569
  6. Step 6: Final answer
    x = 470,212.46

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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.