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Finding the Third Proportional to 199,066 and 429,236

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Solution

The third proportional to 199,066 and 429,236 is: 925,539.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,066 : 429,236 = 429,236 : x
  2. Step 2: Convert to fraction form
    199,066/429,236 = 429,236/x
  3. Step 3: Cross multiply
    199,066x = 429,236 × 429,236
  4. Step 4: Simplify right side
    199,066x = 184,243,543,696
  5. Step 5: Solve for x
    x = 184,243,543,696/199,066
  6. Step 6: Final answer
    x = 925,539.99

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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.