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Finding the Third Proportional to 199,948 and 434,888

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Solution

The third proportional to 199,948 and 434,888 is: 945,883.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,948 : 434,888 = 434,888 : x
  2. Step 2: Convert to fraction form
    199,948/434,888 = 434,888/x
  3. Step 3: Cross multiply
    199,948x = 434,888 × 434,888
  4. Step 4: Simplify right side
    199,948x = 189,127,572,544
  5. Step 5: Solve for x
    x = 189,127,572,544/199,948
  6. Step 6: Final answer
    x = 945,883.79

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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.