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Finding the Third Proportional to 186,664.50 and 299,436.75

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Solution

The third proportional to 186,664.50 and 299,436.75 is: 480,339.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,664.50 : 299,436.75 = 299,436.75 : x
  2. Step 2: Convert to fraction form
    186,664.50/299,436.75 = 299,436.75/x
  3. Step 3: Cross multiply
    186,664.50x = 299,436.75 × 299,436.75
  4. Step 4: Simplify right side
    186,664.50x = 89,662,367,250.56
  5. Step 5: Solve for x
    x = 89,662,367,250.56/186,664.50
  6. Step 6: Final answer
    x = 480,339.69

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.