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Finding the Third Proportional to 123,217 and 180,433

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Solution

The third proportional to 123,217 and 180,433 is: 264,217.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,217 : 180,433 = 180,433 : x
  2. Step 2: Convert to fraction form
    123,217/180,433 = 180,433/x
  3. Step 3: Cross multiply
    123,217x = 180,433 × 180,433
  4. Step 4: Simplify right side
    123,217x = 32,556,067,489
  5. Step 5: Solve for x
    x = 32,556,067,489/123,217
  6. Step 6: Final answer
    x = 264,217.34

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.