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Finding the Third Proportional to 123,117 and 264,625

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Solution

The third proportional to 123,117 and 264,625 is: 568,779.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,117 : 264,625 = 264,625 : x
  2. Step 2: Convert to fraction form
    123,117/264,625 = 264,625/x
  3. Step 3: Cross multiply
    123,117x = 264,625 × 264,625
  4. Step 4: Simplify right side
    123,117x = 70,026,390,625
  5. Step 5: Solve for x
    x = 70,026,390,625/123,117
  6. Step 6: Final answer
    x = 568,779.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.