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Finding the Third Proportional to 161,100 and 349,890

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Solution

The third proportional to 161,100 and 349,890 is: 759,919.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,100 : 349,890 = 349,890 : x
  2. Step 2: Convert to fraction form
    161,100/349,890 = 349,890/x
  3. Step 3: Cross multiply
    161,100x = 349,890 × 349,890
  4. Step 4: Simplify right side
    161,100x = 122,423,012,100
  5. Step 5: Solve for x
    x = 122,423,012,100/161,100
  6. Step 6: Final answer
    x = 759,919.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.