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Finding the Third Proportional to 144,328 and 214,952

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Solution

The third proportional to 144,328 and 214,952 is: 320,134.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,328 : 214,952 = 214,952 : x
  2. Step 2: Convert to fraction form
    144,328/214,952 = 214,952/x
  3. Step 3: Cross multiply
    144,328x = 214,952 × 214,952
  4. Step 4: Simplify right side
    144,328x = 46,204,362,304
  5. Step 5: Solve for x
    x = 46,204,362,304/144,328
  6. Step 6: Final answer
    x = 320,134.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.