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Finding the Third Proportional to 160,116 and 344,973

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Solution

The third proportional to 160,116 and 344,973 is: 743,250.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,116 : 344,973 = 344,973 : x
  2. Step 2: Convert to fraction form
    160,116/344,973 = 344,973/x
  3. Step 3: Cross multiply
    160,116x = 344,973 × 344,973
  4. Step 4: Simplify right side
    160,116x = 119,006,370,729
  5. Step 5: Solve for x
    x = 119,006,370,729/160,116
  6. Step 6: Final answer
    x = 743,250.96

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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.