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Finding the Third Proportional to 161,264 and 350,224

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Solution

The third proportional to 161,264 and 350,224 is: 760,596.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,264 : 350,224 = 350,224 : x
  2. Step 2: Convert to fraction form
    161,264/350,224 = 350,224/x
  3. Step 3: Cross multiply
    161,264x = 350,224 × 350,224
  4. Step 4: Simplify right side
    161,264x = 122,656,850,176
  5. Step 5: Solve for x
    x = 122,656,850,176/161,264
  6. Step 6: Final answer
    x = 760,596.60

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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.