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Finding the Third Proportional to 174,946 and 252,865

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Solution

The third proportional to 174,946 and 252,865 is: 365,488.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,946 : 252,865 = 252,865 : x
  2. Step 2: Convert to fraction form
    174,946/252,865 = 252,865/x
  3. Step 3: Cross multiply
    174,946x = 252,865 × 252,865
  4. Step 4: Simplify right side
    174,946x = 63,940,708,225
  5. Step 5: Solve for x
    x = 63,940,708,225/174,946
  6. Step 6: Final answer
    x = 365,488.25

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.