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Finding the Third Proportional to 136,062 and 288,288

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Solution

The third proportional to 136,062 and 288,288 is: 610,824.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,062 : 288,288 = 288,288 : x
  2. Step 2: Convert to fraction form
    136,062/288,288 = 288,288/x
  3. Step 3: Cross multiply
    136,062x = 288,288 × 288,288
  4. Step 4: Simplify right side
    136,062x = 83,109,970,944
  5. Step 5: Solve for x
    x = 83,109,970,944/136,062
  6. Step 6: Final answer
    x = 610,824.26

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.