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Finding the Third Proportional to 164,306 and 345,196

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Solution

The third proportional to 164,306 and 345,196 is: 725,233.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,306 : 345,196 = 345,196 : x
  2. Step 2: Convert to fraction form
    164,306/345,196 = 345,196/x
  3. Step 3: Cross multiply
    164,306x = 345,196 × 345,196
  4. Step 4: Simplify right side
    164,306x = 119,160,278,416
  5. Step 5: Solve for x
    x = 119,160,278,416/164,306
  6. Step 6: Final answer
    x = 725,233.88

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.