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Finding the Third Proportional to 162,068 and 337,130

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Solution

The third proportional to 162,068 and 337,130 is: 701,289.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,068 : 337,130 = 337,130 : x
  2. Step 2: Convert to fraction form
    162,068/337,130 = 337,130/x
  3. Step 3: Cross multiply
    162,068x = 337,130 × 337,130
  4. Step 4: Simplify right side
    162,068x = 113,656,636,900
  5. Step 5: Solve for x
    x = 113,656,636,900/162,068
  6. Step 6: Final answer
    x = 701,289.81

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.