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Finding the Third Proportional to 160,615.13 and 211,079.25

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Solution

The third proportional to 160,615.13 and 211,079.25 is: 277,398.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,615.13 : 211,079.25 = 211,079.25 : x
  2. Step 2: Convert to fraction form
    160,615.13/211,079.25 = 211,079.25/x
  3. Step 3: Cross multiply
    160,615.13x = 211,079.25 × 211,079.25
  4. Step 4: Simplify right side
    160,615.13x = 44,554,449,780.56
  5. Step 5: Solve for x
    x = 44,554,449,780.56/160,615.13
  6. Step 6: Final answer
    x = 277,398.84

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.