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Finding the Third Proportional to 167,411.63 and 252,627

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Solution

The third proportional to 167,411.63 and 252,627 is: 381,218.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,411.63 : 252,627 = 252,627 : x
  2. Step 2: Convert to fraction form
    167,411.63/252,627 = 252,627/x
  3. Step 3: Cross multiply
    167,411.63x = 252,627 × 252,627
  4. Step 4: Simplify right side
    167,411.63x = 63,820,401,129
  5. Step 5: Solve for x
    x = 63,820,401,129/167,411.63
  6. Step 6: Final answer
    x = 381,218.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.