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Finding the Third Proportional to 164,272 and 353,084

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Solution

The third proportional to 164,272 and 353,084 is: 758,913.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,272 : 353,084 = 353,084 : x
  2. Step 2: Convert to fraction form
    164,272/353,084 = 353,084/x
  3. Step 3: Cross multiply
    164,272x = 353,084 × 353,084
  4. Step 4: Simplify right side
    164,272x = 124,668,311,056
  5. Step 5: Solve for x
    x = 124,668,311,056/164,272
  6. Step 6: Final answer
    x = 758,913.94

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.