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Finding the Third Proportional to 174,200.63 and 266,297.63

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Solution

The third proportional to 174,200.63 and 266,297.63 is: 407,084.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,200.63 : 266,297.63 = 266,297.63 : x
  2. Step 2: Convert to fraction form
    174,200.63/266,297.63 = 266,297.63/x
  3. Step 3: Cross multiply
    174,200.63x = 266,297.63 × 266,297.63
  4. Step 4: Simplify right side
    174,200.63x = 70,914,425,080.64
  5. Step 5: Solve for x
    x = 70,914,425,080.64/174,200.63
  6. Step 6: Final answer
    x = 407,084.79

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.