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Finding the Third Proportional to 161,233 and 350,078

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Solution

The third proportional to 161,233 and 350,078 is: 760,108.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,233 : 350,078 = 350,078 : x
  2. Step 2: Convert to fraction form
    161,233/350,078 = 350,078/x
  3. Step 3: Cross multiply
    161,233x = 350,078 × 350,078
  4. Step 4: Simplify right side
    161,233x = 122,554,606,084
  5. Step 5: Solve for x
    x = 122,554,606,084/161,233
  6. Step 6: Final answer
    x = 760,108.70

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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.