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Finding the Third Proportional to 199,126 and 429,948

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Solution

The third proportional to 199,126 and 429,948 is: 928,333.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,126 : 429,948 = 429,948 : x
  2. Step 2: Convert to fraction form
    199,126/429,948 = 429,948/x
  3. Step 3: Cross multiply
    199,126x = 429,948 × 429,948
  4. Step 4: Simplify right side
    199,126x = 184,855,282,704
  5. Step 5: Solve for x
    x = 184,855,282,704/199,126
  6. Step 6: Final answer
    x = 928,333.23

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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.