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Finding the Third Proportional to 119,216 and 258,936

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Solution

The third proportional to 119,216 and 258,936 is: 562,406.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,216 : 258,936 = 258,936 : x
  2. Step 2: Convert to fraction form
    119,216/258,936 = 258,936/x
  3. Step 3: Cross multiply
    119,216x = 258,936 × 258,936
  4. Step 4: Simplify right side
    119,216x = 67,047,852,096
  5. Step 5: Solve for x
    x = 67,047,852,096/119,216
  6. Step 6: Final answer
    x = 562,406.49

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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.