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Finding the Third Proportional to 136,282 and 205,652

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Solution

The third proportional to 136,282 and 205,652 is: 310,332.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,282 : 205,652 = 205,652 : x
  2. Step 2: Convert to fraction form
    136,282/205,652 = 205,652/x
  3. Step 3: Cross multiply
    136,282x = 205,652 × 205,652
  4. Step 4: Simplify right side
    136,282x = 42,292,745,104
  5. Step 5: Solve for x
    x = 42,292,745,104/136,282
  6. Step 6: Final answer
    x = 310,332.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.