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Finding the Third Proportional to 160,853.50 and 211,521

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Solution

The third proportional to 160,853.50 and 211,521 is: 278,148.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,853.50 : 211,521 = 211,521 : x
  2. Step 2: Convert to fraction form
    160,853.50/211,521 = 211,521/x
  3. Step 3: Cross multiply
    160,853.50x = 211,521 × 211,521
  4. Step 4: Simplify right side
    160,853.50x = 44,741,133,441
  5. Step 5: Solve for x
    x = 44,741,133,441/160,853.50
  6. Step 6: Final answer
    x = 278,148.34

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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.