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Finding the Third Proportional to 160,033 and 344,852

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Solution

The third proportional to 160,033 and 344,852 is: 743,114.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,033 : 344,852 = 344,852 : x
  2. Step 2: Convert to fraction form
    160,033/344,852 = 344,852/x
  3. Step 3: Cross multiply
    160,033x = 344,852 × 344,852
  4. Step 4: Simplify right side
    160,033x = 118,922,901,904
  5. Step 5: Solve for x
    x = 118,922,901,904/160,033
  6. Step 6: Final answer
    x = 743,114.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.