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Finding the Third Proportional to 163,266.50 and 252,286

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Solution

The third proportional to 163,266.50 and 252,286 is: 389,842.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,266.50 : 252,286 = 252,286 : x
  2. Step 2: Convert to fraction form
    163,266.50/252,286 = 252,286/x
  3. Step 3: Cross multiply
    163,266.50x = 252,286 × 252,286
  4. Step 4: Simplify right side
    163,266.50x = 63,648,225,796
  5. Step 5: Solve for x
    x = 63,648,225,796/163,266.50
  6. Step 6: Final answer
    x = 389,842.53

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.