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Finding the Third Proportional to 145,064.25 and 204,282

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Solution

The third proportional to 145,064.25 and 204,282 is: 287,673.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,064.25 : 204,282 = 204,282 : x
  2. Step 2: Convert to fraction form
    145,064.25/204,282 = 204,282/x
  3. Step 3: Cross multiply
    145,064.25x = 204,282 × 204,282
  4. Step 4: Simplify right side
    145,064.25x = 41,731,135,524
  5. Step 5: Solve for x
    x = 41,731,135,524/145,064.25
  6. Step 6: Final answer
    x = 287,673.47

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.