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Finding the Third Proportional to 185,663.25 and 278,903.25

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Solution

The third proportional to 185,663.25 and 278,903.25 is: 418,968.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,663.25 : 278,903.25 = 278,903.25 : x
  2. Step 2: Convert to fraction form
    185,663.25/278,903.25 = 278,903.25/x
  3. Step 3: Cross multiply
    185,663.25x = 278,903.25 × 278,903.25
  4. Step 4: Simplify right side
    185,663.25x = 77,787,022,860.56
  5. Step 5: Solve for x
    x = 77,787,022,860.56/185,663.25
  6. Step 6: Final answer
    x = 418,968.34

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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.