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Finding the Third Proportional to 161,370 and 353,844

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Solution

The third proportional to 161,370 and 353,844 is: 775,891.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,370 : 353,844 = 353,844 : x
  2. Step 2: Convert to fraction form
    161,370/353,844 = 353,844/x
  3. Step 3: Cross multiply
    161,370x = 353,844 × 353,844
  4. Step 4: Simplify right side
    161,370x = 125,205,576,336
  5. Step 5: Solve for x
    x = 125,205,576,336/161,370
  6. Step 6: Final answer
    x = 775,891.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.