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Finding the Third Proportional to 154,938 and 328,326

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Solution

The third proportional to 154,938 and 328,326 is: 695,749.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,938 : 328,326 = 328,326 : x
  2. Step 2: Convert to fraction form
    154,938/328,326 = 328,326/x
  3. Step 3: Cross multiply
    154,938x = 328,326 × 328,326
  4. Step 4: Simplify right side
    154,938x = 107,797,962,276
  5. Step 5: Solve for x
    x = 107,797,962,276/154,938
  6. Step 6: Final answer
    x = 695,749.02

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.