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Finding the Third Proportional to 160,573.50 and 211,197.38

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Solution

The third proportional to 160,573.50 and 211,197.38 is: 277,781.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,573.50 : 211,197.38 = 211,197.38 : x
  2. Step 2: Convert to fraction form
    160,573.50/211,197.38 = 211,197.38/x
  3. Step 3: Cross multiply
    160,573.50x = 211,197.38 × 211,197.38
  4. Step 4: Simplify right side
    160,573.50x = 44,604,331,206.89
  5. Step 5: Solve for x
    x = 44,604,331,206.89/160,573.50
  6. Step 6: Final answer
    x = 277,781.40

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.