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Finding the Third Proportional to 186,445 and 279,613.50

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Solution

The third proportional to 186,445 and 279,613.50 is: 419,339.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,445 : 279,613.50 = 279,613.50 : x
  2. Step 2: Convert to fraction form
    186,445/279,613.50 = 279,613.50/x
  3. Step 3: Cross multiply
    186,445x = 279,613.50 × 279,613.50
  4. Step 4: Simplify right side
    186,445x = 78,183,709,382.25
  5. Step 5: Solve for x
    x = 78,183,709,382.25/186,445
  6. Step 6: Final answer
    x = 419,339.27

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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.