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Finding the Third Proportional to 145,546 and 214,223

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Solution

The third proportional to 145,546 and 214,223 is: 315,305.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,546 : 214,223 = 214,223 : x
  2. Step 2: Convert to fraction form
    145,546/214,223 = 214,223/x
  3. Step 3: Cross multiply
    145,546x = 214,223 × 214,223
  4. Step 4: Simplify right side
    145,546x = 45,891,493,729
  5. Step 5: Solve for x
    x = 45,891,493,729/145,546
  6. Step 6: Final answer
    x = 315,305.77

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.