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Finding the Third Proportional to 163,237.88 and 231,188

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Solution

The third proportional to 163,237.88 and 231,188 is: 327,423.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,237.88 : 231,188 = 231,188 : x
  2. Step 2: Convert to fraction form
    163,237.88/231,188 = 231,188/x
  3. Step 3: Cross multiply
    163,237.88x = 231,188 × 231,188
  4. Step 4: Simplify right side
    163,237.88x = 53,447,891,344
  5. Step 5: Solve for x
    x = 53,447,891,344/163,237.88
  6. Step 6: Final answer
    x = 327,423.35

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.