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Finding the Third Proportional to 160,786 and 344,900

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Solution

The third proportional to 160,786 and 344,900 is: 739,840.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,786 : 344,900 = 344,900 : x
  2. Step 2: Convert to fraction form
    160,786/344,900 = 344,900/x
  3. Step 3: Cross multiply
    160,786x = 344,900 × 344,900
  4. Step 4: Simplify right side
    160,786x = 118,956,010,000
  5. Step 5: Solve for x
    x = 118,956,010,000/160,786
  6. Step 6: Final answer
    x = 739,840.60

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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.