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Finding the Third Proportional to 145,012 and 204,213

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Solution

The third proportional to 145,012 and 204,213 is: 287,582.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,012 : 204,213 = 204,213 : x
  2. Step 2: Convert to fraction form
    145,012/204,213 = 204,213/x
  3. Step 3: Cross multiply
    145,012x = 204,213 × 204,213
  4. Step 4: Simplify right side
    145,012x = 41,702,949,369
  5. Step 5: Solve for x
    x = 41,702,949,369/145,012
  6. Step 6: Final answer
    x = 287,582.75

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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.