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Finding the Third Proportional to 151,404 and 328,564

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Solution

The third proportional to 151,404 and 328,564 is: 713,021.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,404 : 328,564 = 328,564 : x
  2. Step 2: Convert to fraction form
    151,404/328,564 = 328,564/x
  3. Step 3: Cross multiply
    151,404x = 328,564 × 328,564
  4. Step 4: Simplify right side
    151,404x = 107,954,302,096
  5. Step 5: Solve for x
    x = 107,954,302,096/151,404
  6. Step 6: Final answer
    x = 713,021.47

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.