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Finding the Third Proportional to 186,826.50 and 280,472.63

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Solution

The third proportional to 186,826.50 and 280,472.63 is: 421,058.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,826.50 : 280,472.63 = 280,472.63 : x
  2. Step 2: Convert to fraction form
    186,826.50/280,472.63 = 280,472.63/x
  3. Step 3: Cross multiply
    186,826.50x = 280,472.63 × 280,472.63
  4. Step 4: Simplify right side
    186,826.50x = 78,664,893,374.39
  5. Step 5: Solve for x
    x = 78,664,893,374.39/186,826.50
  6. Step 6: Final answer
    x = 421,058.54

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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.