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Finding the Third Proportional to 187,445.25 and 290,325.94

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Solution

The third proportional to 187,445.25 and 290,325.94 is: 449,673.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,445.25 : 290,325.94 = 290,325.94 : x
  2. Step 2: Convert to fraction form
    187,445.25/290,325.94 = 290,325.94/x
  3. Step 3: Cross multiply
    187,445.25x = 290,325.94 × 290,325.94
  4. Step 4: Simplify right side
    187,445.25x = 84,289,149,985.25
  5. Step 5: Solve for x
    x = 84,289,149,985.25/187,445.25
  6. Step 6: Final answer
    x = 449,673.44

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.