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Finding the Third Proportional to 186,880.92 and 280,263.80

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Solution

The third proportional to 186,880.92 and 280,263.80 is: 420,309.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,880.92 : 280,263.80 = 280,263.80 : x
  2. Step 2: Convert to fraction form
    186,880.92/280,263.80 = 280,263.80/x
  3. Step 3: Cross multiply
    186,880.92x = 280,263.80 × 280,263.80
  4. Step 4: Simplify right side
    186,880.92x = 78,547,795,838.79
  5. Step 5: Solve for x
    x = 78,547,795,838.79/186,880.92
  6. Step 6: Final answer
    x = 420,309.33

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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.