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Finding the Third Proportional to 117,918 and 186,809

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Solution

The third proportional to 117,918 and 186,809 is: 295,948.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,918 : 186,809 = 186,809 : x
  2. Step 2: Convert to fraction form
    117,918/186,809 = 186,809/x
  3. Step 3: Cross multiply
    117,918x = 186,809 × 186,809
  4. Step 4: Simplify right side
    117,918x = 34,897,602,481
  5. Step 5: Solve for x
    x = 34,897,602,481/117,918
  6. Step 6: Final answer
    x = 295,948.05

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.