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Finding the Third Proportional to 240,625 and 336,429

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Solution

The third proportional to 240,625 and 336,429 is: 470,377.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,625 : 336,429 = 336,429 : x
  2. Step 2: Convert to fraction form
    240,625/336,429 = 336,429/x
  3. Step 3: Cross multiply
    240,625x = 336,429 × 336,429
  4. Step 4: Simplify right side
    240,625x = 113,184,472,041
  5. Step 5: Solve for x
    x = 113,184,472,041/240,625
  6. Step 6: Final answer
    x = 470,377.03

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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.