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Finding the Third Proportional to 151,968 and 330,693

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Solution

The third proportional to 151,968 and 330,693 is: 719,611.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,968 : 330,693 = 330,693 : x
  2. Step 2: Convert to fraction form
    151,968/330,693 = 330,693/x
  3. Step 3: Cross multiply
    151,968x = 330,693 × 330,693
  4. Step 4: Simplify right side
    151,968x = 109,357,860,249
  5. Step 5: Solve for x
    x = 109,357,860,249/151,968
  6. Step 6: Final answer
    x = 719,611.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.