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Finding the Third Proportional to 134,556.19 and 206,550

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Solution

The third proportional to 134,556.19 and 206,550 is: 317,063.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,556.19 : 206,550 = 206,550 : x
  2. Step 2: Convert to fraction form
    134,556.19/206,550 = 206,550/x
  3. Step 3: Cross multiply
    134,556.19x = 206,550 × 206,550
  4. Step 4: Simplify right side
    134,556.19x = 42,662,902,500
  5. Step 5: Solve for x
    x = 42,662,902,500/134,556.19
  6. Step 6: Final answer
    x = 317,063.85

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.