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Finding the Third Proportional to 144,388 and 216,582

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Solution

The third proportional to 144,388 and 216,582 is: 324,873

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,388 : 216,582 = 216,582 : x
  2. Step 2: Convert to fraction form
    144,388/216,582 = 216,582/x
  3. Step 3: Cross multiply
    144,388x = 216,582 × 216,582
  4. Step 4: Simplify right side
    144,388x = 46,907,762,724
  5. Step 5: Solve for x
    x = 46,907,762,724/144,388
  6. Step 6: Final answer
    x = 324,873

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.