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Finding the Third Proportional to 186,853.88 and 438,668.63

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Solution

The third proportional to 186,853.88 and 438,668.63 is: 1,029,843.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,853.88 : 438,668.63 = 438,668.63 : x
  2. Step 2: Convert to fraction form
    186,853.88/438,668.63 = 438,668.63/x
  3. Step 3: Cross multiply
    186,853.88x = 438,668.63 × 438,668.63
  4. Step 4: Simplify right side
    186,853.88x = 192,430,162,559.39
  5. Step 5: Solve for x
    x = 192,430,162,559.39/186,853.88
  6. Step 6: Final answer
    x = 1,029,843.04

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.