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Finding the Third Proportional to 160,050 and 344,904

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Solution

The third proportional to 160,050 and 344,904 is: 743,260.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,050 : 344,904 = 344,904 : x
  2. Step 2: Convert to fraction form
    160,050/344,904 = 344,904/x
  3. Step 3: Cross multiply
    160,050x = 344,904 × 344,904
  4. Step 4: Simplify right side
    160,050x = 118,958,769,216
  5. Step 5: Solve for x
    x = 118,958,769,216/160,050
  6. Step 6: Final answer
    x = 743,260.04

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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.