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Finding the Third Proportional to 170,627 and 251,566.50

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Solution

The third proportional to 170,627 and 251,566.50 is: 370,900.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,627 : 251,566.50 = 251,566.50 : x
  2. Step 2: Convert to fraction form
    170,627/251,566.50 = 251,566.50/x
  3. Step 3: Cross multiply
    170,627x = 251,566.50 × 251,566.50
  4. Step 4: Simplify right side
    170,627x = 63,285,703,922.25
  5. Step 5: Solve for x
    x = 63,285,703,922.25/170,627
  6. Step 6: Final answer
    x = 370,900.88

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.