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Finding the Third Proportional to 151,406 and 328,570

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Solution

The third proportional to 151,406 and 328,570 is: 713,038.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,406 : 328,570 = 328,570 : x
  2. Step 2: Convert to fraction form
    151,406/328,570 = 328,570/x
  3. Step 3: Cross multiply
    151,406x = 328,570 × 328,570
  4. Step 4: Simplify right side
    151,406x = 107,958,244,900
  5. Step 5: Solve for x
    x = 107,958,244,900/151,406
  6. Step 6: Final answer
    x = 713,038.09

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Why These Related Problems?

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