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Finding the Third Proportional to 152,968 and 328,079

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Solution

The third proportional to 152,968 and 328,079 is: 703,649.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,968 : 328,079 = 328,079 : x
  2. Step 2: Convert to fraction form
    152,968/328,079 = 328,079/x
  3. Step 3: Cross multiply
    152,968x = 328,079 × 328,079
  4. Step 4: Simplify right side
    152,968x = 107,635,830,241
  5. Step 5: Solve for x
    x = 107,635,830,241/152,968
  6. Step 6: Final answer
    x = 703,649.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.