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Finding the Third Proportional to 162,994 and 345,611

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Solution

The third proportional to 162,994 and 345,611 is: 732,830.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,994 : 345,611 = 345,611 : x
  2. Step 2: Convert to fraction form
    162,994/345,611 = 345,611/x
  3. Step 3: Cross multiply
    162,994x = 345,611 × 345,611
  4. Step 4: Simplify right side
    162,994x = 119,446,963,321
  5. Step 5: Solve for x
    x = 119,446,963,321/162,994
  6. Step 6: Final answer
    x = 732,830.43

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.