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Finding the Third Proportional to 186,748 and 279,462

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Solution

The third proportional to 186,748 and 279,462 is: 418,205.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,748 : 279,462 = 279,462 : x
  2. Step 2: Convert to fraction form
    186,748/279,462 = 279,462/x
  3. Step 3: Cross multiply
    186,748x = 279,462 × 279,462
  4. Step 4: Simplify right side
    186,748x = 78,099,009,444
  5. Step 5: Solve for x
    x = 78,099,009,444/186,748
  6. Step 6: Final answer
    x = 418,205.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.