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Finding the Third Proportional to 123,775 and 264,254

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Solution

The third proportional to 123,775 and 264,254 is: 564,170.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,775 : 264,254 = 264,254 : x
  2. Step 2: Convert to fraction form
    123,775/264,254 = 264,254/x
  3. Step 3: Cross multiply
    123,775x = 264,254 × 264,254
  4. Step 4: Simplify right side
    123,775x = 69,830,176,516
  5. Step 5: Solve for x
    x = 69,830,176,516/123,775
  6. Step 6: Final answer
    x = 564,170.28

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.