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Finding the Third Proportional to 190,988.44 and 404,743.78

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Solution

The third proportional to 190,988.44 and 404,743.78 is: 857,735.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,988.44 : 404,743.78 = 404,743.78 : x
  2. Step 2: Convert to fraction form
    190,988.44/404,743.78 = 404,743.78/x
  3. Step 3: Cross multiply
    190,988.44x = 404,743.78 × 404,743.78
  4. Step 4: Simplify right side
    190,988.44x = 163,817,528,460.55
  5. Step 5: Solve for x
    x = 163,817,528,460.55/190,988.44
  6. Step 6: Final answer
    x = 857,735.32

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.