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Finding the Third Proportional to 152,989 and 327,029

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Solution

The third proportional to 152,989 and 327,029 is: 699,056.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,989 : 327,029 = 327,029 : x
  2. Step 2: Convert to fraction form
    152,989/327,029 = 327,029/x
  3. Step 3: Cross multiply
    152,989x = 327,029 × 327,029
  4. Step 4: Simplify right side
    152,989x = 106,947,966,841
  5. Step 5: Solve for x
    x = 106,947,966,841/152,989
  6. Step 6: Final answer
    x = 699,056.58

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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.