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Finding the Third Proportional to 119,968 and 260,648

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Solution

The third proportional to 119,968 and 260,648 is: 566,295.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,968 : 260,648 = 260,648 : x
  2. Step 2: Convert to fraction form
    119,968/260,648 = 260,648/x
  3. Step 3: Cross multiply
    119,968x = 260,648 × 260,648
  4. Step 4: Simplify right side
    119,968x = 67,937,379,904
  5. Step 5: Solve for x
    x = 67,937,379,904/119,968
  6. Step 6: Final answer
    x = 566,295.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.