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Finding the Third Proportional to 186,798 and 399,838

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Solution

The third proportional to 186,798 and 399,838 is: 855,846.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,798 : 399,838 = 399,838 : x
  2. Step 2: Convert to fraction form
    186,798/399,838 = 399,838/x
  3. Step 3: Cross multiply
    186,798x = 399,838 × 399,838
  4. Step 4: Simplify right side
    186,798x = 159,870,426,244
  5. Step 5: Solve for x
    x = 159,870,426,244/186,798
  6. Step 6: Final answer
    x = 855,846.56

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.