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Finding the Third Proportional to 144,920 and 305,596

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Solution

The third proportional to 144,920 and 305,596 is: 644,417.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,920 : 305,596 = 305,596 : x
  2. Step 2: Convert to fraction form
    144,920/305,596 = 305,596/x
  3. Step 3: Cross multiply
    144,920x = 305,596 × 305,596
  4. Step 4: Simplify right side
    144,920x = 93,388,915,216
  5. Step 5: Solve for x
    x = 93,388,915,216/144,920
  6. Step 6: Final answer
    x = 644,417.02

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.