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Finding the Third Proportional to 197,426 and 429,892

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Solution

The third proportional to 197,426 and 429,892 is: 936,083.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,426 : 429,892 = 429,892 : x
  2. Step 2: Convert to fraction form
    197,426/429,892 = 429,892/x
  3. Step 3: Cross multiply
    197,426x = 429,892 × 429,892
  4. Step 4: Simplify right side
    197,426x = 184,807,131,664
  5. Step 5: Solve for x
    x = 184,807,131,664/197,426
  6. Step 6: Final answer
    x = 936,083.05

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.