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Finding the Third Proportional to 161,360 and 350,705

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Solution

The third proportional to 161,360 and 350,705 is: 762,233.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,360 : 350,705 = 350,705 : x
  2. Step 2: Convert to fraction form
    161,360/350,705 = 350,705/x
  3. Step 3: Cross multiply
    161,360x = 350,705 × 350,705
  4. Step 4: Simplify right side
    161,360x = 122,993,997,025
  5. Step 5: Solve for x
    x = 122,993,997,025/161,360
  6. Step 6: Final answer
    x = 762,233.50

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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.