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Finding the Third Proportional to 123,696 and 264,882

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Solution

The third proportional to 123,696 and 264,882 is: 567,217.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,696 : 264,882 = 264,882 : x
  2. Step 2: Convert to fraction form
    123,696/264,882 = 264,882/x
  3. Step 3: Cross multiply
    123,696x = 264,882 × 264,882
  4. Step 4: Simplify right side
    123,696x = 70,162,473,924
  5. Step 5: Solve for x
    x = 70,162,473,924/123,696
  6. Step 6: Final answer
    x = 567,217.00

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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.