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Finding the Third Proportional to 160,927.50 and 342,645

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Solution

The third proportional to 160,927.50 and 342,645 is: 729,555.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,927.50 : 342,645 = 342,645 : x
  2. Step 2: Convert to fraction form
    160,927.50/342,645 = 342,645/x
  3. Step 3: Cross multiply
    160,927.50x = 342,645 × 342,645
  4. Step 4: Simplify right side
    160,927.50x = 117,405,596,025
  5. Step 5: Solve for x
    x = 117,405,596,025/160,927.50
  6. Step 6: Final answer
    x = 729,555.83

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.