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Finding the Third Proportional to 193,612 and 416,892

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Solution

The third proportional to 193,612 and 416,892 is: 897,666.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,612 : 416,892 = 416,892 : x
  2. Step 2: Convert to fraction form
    193,612/416,892 = 416,892/x
  3. Step 3: Cross multiply
    193,612x = 416,892 × 416,892
  4. Step 4: Simplify right side
    193,612x = 173,798,939,664
  5. Step 5: Solve for x
    x = 173,798,939,664/193,612
  6. Step 6: Final answer
    x = 897,666.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.