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Finding the Third Proportional to 160,443 and 246,634.50

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Solution

The third proportional to 160,443 and 246,634.50 is: 379,128.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,443 : 246,634.50 = 246,634.50 : x
  2. Step 2: Convert to fraction form
    160,443/246,634.50 = 246,634.50/x
  3. Step 3: Cross multiply
    160,443x = 246,634.50 × 246,634.50
  4. Step 4: Simplify right side
    160,443x = 60,828,576,590.25
  5. Step 5: Solve for x
    x = 60,828,576,590.25/160,443
  6. Step 6: Final answer
    x = 379,128.89

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.