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Finding the Third Proportional to 123,671 and 264,865

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Solution

The third proportional to 123,671 and 264,865 is: 567,258.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,671 : 264,865 = 264,865 : x
  2. Step 2: Convert to fraction form
    123,671/264,865 = 264,865/x
  3. Step 3: Cross multiply
    123,671x = 264,865 × 264,865
  4. Step 4: Simplify right side
    123,671x = 70,153,468,225
  5. Step 5: Solve for x
    x = 70,153,468,225/123,671
  6. Step 6: Final answer
    x = 567,258.84

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.