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Finding the Third Proportional to 160,666 and 349,899

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Solution

The third proportional to 160,666 and 349,899 is: 762,011.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,666 : 349,899 = 349,899 : x
  2. Step 2: Convert to fraction form
    160,666/349,899 = 349,899/x
  3. Step 3: Cross multiply
    160,666x = 349,899 × 349,899
  4. Step 4: Simplify right side
    160,666x = 122,429,310,201
  5. Step 5: Solve for x
    x = 122,429,310,201/160,666
  6. Step 6: Final answer
    x = 762,011.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.