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Finding the Third Proportional to 245,228 and 329,546

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Solution

The third proportional to 245,228 and 329,546 is: 442,855.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,228 : 329,546 = 329,546 : x
  2. Step 2: Convert to fraction form
    245,228/329,546 = 329,546/x
  3. Step 3: Cross multiply
    245,228x = 329,546 × 329,546
  4. Step 4: Simplify right side
    245,228x = 108,600,566,116
  5. Step 5: Solve for x
    x = 108,600,566,116/245,228
  6. Step 6: Final answer
    x = 442,855.49

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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.