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Finding the Third Proportional to 186,426 and 290,682

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Solution

The third proportional to 186,426 and 290,682 is: 453,241.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,426 : 290,682 = 290,682 : x
  2. Step 2: Convert to fraction form
    186,426/290,682 = 290,682/x
  3. Step 3: Cross multiply
    186,426x = 290,682 × 290,682
  4. Step 4: Simplify right side
    186,426x = 84,496,025,124
  5. Step 5: Solve for x
    x = 84,496,025,124/186,426
  6. Step 6: Final answer
    x = 453,241.64

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.