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Finding the Third Proportional to 174,901 and 270,082

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Solution

The third proportional to 174,901 and 270,082 is: 417,060.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,901 : 270,082 = 270,082 : x
  2. Step 2: Convert to fraction form
    174,901/270,082 = 270,082/x
  3. Step 3: Cross multiply
    174,901x = 270,082 × 270,082
  4. Step 4: Simplify right side
    174,901x = 72,944,286,724
  5. Step 5: Solve for x
    x = 72,944,286,724/174,901
  6. Step 6: Final answer
    x = 417,060.43

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.