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Finding the Third Proportional to 186,421.50 and 279,162

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Solution

The third proportional to 186,421.50 and 279,162 is: 418,038.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,421.50 : 279,162 = 279,162 : x
  2. Step 2: Convert to fraction form
    186,421.50/279,162 = 279,162/x
  3. Step 3: Cross multiply
    186,421.50x = 279,162 × 279,162
  4. Step 4: Simplify right side
    186,421.50x = 77,931,422,244
  5. Step 5: Solve for x
    x = 77,931,422,244/186,421.50
  6. Step 6: Final answer
    x = 418,038.81

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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.