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Finding the Third Proportional to 174,573 and 266,940

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Solution

The third proportional to 174,573 and 266,940 is: 408,178.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,573 : 266,940 = 266,940 : x
  2. Step 2: Convert to fraction form
    174,573/266,940 = 266,940/x
  3. Step 3: Cross multiply
    174,573x = 266,940 × 266,940
  4. Step 4: Simplify right side
    174,573x = 71,256,963,600
  5. Step 5: Solve for x
    x = 71,256,963,600/174,573
  6. Step 6: Final answer
    x = 408,178.60

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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.