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Finding the Third Proportional to 136,528 and 283,958

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Solution

The third proportional to 136,528 and 283,958 is: 590,590.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,528 : 283,958 = 283,958 : x
  2. Step 2: Convert to fraction form
    136,528/283,958 = 283,958/x
  3. Step 3: Cross multiply
    136,528x = 283,958 × 283,958
  4. Step 4: Simplify right side
    136,528x = 80,632,145,764
  5. Step 5: Solve for x
    x = 80,632,145,764/136,528
  6. Step 6: Final answer
    x = 590,590.54

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.