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Finding the Third Proportional to 162,719 and 350,416

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Solution

The third proportional to 162,719 and 350,416 is: 754,622.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,719 : 350,416 = 350,416 : x
  2. Step 2: Convert to fraction form
    162,719/350,416 = 350,416/x
  3. Step 3: Cross multiply
    162,719x = 350,416 × 350,416
  4. Step 4: Simplify right side
    162,719x = 122,791,373,056
  5. Step 5: Solve for x
    x = 122,791,373,056/162,719
  6. Step 6: Final answer
    x = 754,622.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.