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Finding the Third Proportional to 136,024 and 288,212

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Solution

The third proportional to 136,024 and 288,212 is: 610,672.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,024 : 288,212 = 288,212 : x
  2. Step 2: Convert to fraction form
    136,024/288,212 = 288,212/x
  3. Step 3: Cross multiply
    136,024x = 288,212 × 288,212
  4. Step 4: Simplify right side
    136,024x = 83,066,156,944
  5. Step 5: Solve for x
    x = 83,066,156,944/136,024
  6. Step 6: Final answer
    x = 610,672.80

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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.