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Finding the Third Proportional to 161,364 and 350,322

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Solution

The third proportional to 161,364 and 350,322 is: 760,550.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,364 : 350,322 = 350,322 : x
  2. Step 2: Convert to fraction form
    161,364/350,322 = 350,322/x
  3. Step 3: Cross multiply
    161,364x = 350,322 × 350,322
  4. Step 4: Simplify right side
    161,364x = 122,725,503,684
  5. Step 5: Solve for x
    x = 122,725,503,684/161,364
  6. Step 6: Final answer
    x = 760,550.70

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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.