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Finding the Third Proportional to 123,396 and 264,312

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Solution

The third proportional to 123,396 and 264,312 is: 566,151.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,396 : 264,312 = 264,312 : x
  2. Step 2: Convert to fraction form
    123,396/264,312 = 264,312/x
  3. Step 3: Cross multiply
    123,396x = 264,312 × 264,312
  4. Step 4: Simplify right side
    123,396x = 69,860,833,344
  5. Step 5: Solve for x
    x = 69,860,833,344/123,396
  6. Step 6: Final answer
    x = 566,151.52

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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.