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Finding the Third Proportional to 186,994 and 294,099

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Solution

The third proportional to 186,994 and 294,099 is: 462,550.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,994 : 294,099 = 294,099 : x
  2. Step 2: Convert to fraction form
    186,994/294,099 = 294,099/x
  3. Step 3: Cross multiply
    186,994x = 294,099 × 294,099
  4. Step 4: Simplify right side
    186,994x = 86,494,221,801
  5. Step 5: Solve for x
    x = 86,494,221,801/186,994
  6. Step 6: Final answer
    x = 462,550.79

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.