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Finding the Third Proportional to 199,119 and 429,935

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Solution

The third proportional to 199,119 and 429,935 is: 928,309.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,119 : 429,935 = 429,935 : x
  2. Step 2: Convert to fraction form
    199,119/429,935 = 429,935/x
  3. Step 3: Cross multiply
    199,119x = 429,935 × 429,935
  4. Step 4: Simplify right side
    199,119x = 184,844,104,225
  5. Step 5: Solve for x
    x = 184,844,104,225/199,119
  6. Step 6: Final answer
    x = 928,309.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.