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Finding the Third Proportional to 160,590 and 345,844

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Solution

The third proportional to 160,590 and 345,844 is: 744,803.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,590 : 345,844 = 345,844 : x
  2. Step 2: Convert to fraction form
    160,590/345,844 = 345,844/x
  3. Step 3: Cross multiply
    160,590x = 345,844 × 345,844
  4. Step 4: Simplify right side
    160,590x = 119,608,072,336
  5. Step 5: Solve for x
    x = 119,608,072,336/160,590
  6. Step 6: Final answer
    x = 744,803.99

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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.