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Finding the Third Proportional to 145,014 and 204,216

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Solution

The third proportional to 145,014 and 204,216 is: 287,587.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,014 : 204,216 = 204,216 : x
  2. Step 2: Convert to fraction form
    145,014/204,216 = 204,216/x
  3. Step 3: Cross multiply
    145,014x = 204,216 × 204,216
  4. Step 4: Simplify right side
    145,014x = 41,704,174,656
  5. Step 5: Solve for x
    x = 41,704,174,656/145,014
  6. Step 6: Final answer
    x = 287,587.23

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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.