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Finding the Third Proportional to 186,806 and 399,854

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Solution

The third proportional to 186,806 and 399,854 is: 855,878.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,806 : 399,854 = 399,854 : x
  2. Step 2: Convert to fraction form
    186,806/399,854 = 399,854/x
  3. Step 3: Cross multiply
    186,806x = 399,854 × 399,854
  4. Step 4: Simplify right side
    186,806x = 159,883,221,316
  5. Step 5: Solve for x
    x = 159,883,221,316/186,806
  6. Step 6: Final answer
    x = 855,878.40

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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.