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Finding the Third Proportional to 168,854.63 and 253,897.03

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Solution

The third proportional to 168,854.63 and 253,897.03 is: 381,770.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,854.63 : 253,897.03 = 253,897.03 : x
  2. Step 2: Convert to fraction form
    168,854.63/253,897.03 = 253,897.03/x
  3. Step 3: Cross multiply
    168,854.63x = 253,897.03 × 253,897.03
  4. Step 4: Simplify right side
    168,854.63x = 64,463,702,477.56
  5. Step 5: Solve for x
    x = 64,463,702,477.56/168,854.63
  6. Step 6: Final answer
    x = 381,770.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.