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Finding the Third Proportional to 132,559 and 200,768

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Solution

The third proportional to 132,559 and 200,768 is: 304,074.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,559 : 200,768 = 200,768 : x
  2. Step 2: Convert to fraction form
    132,559/200,768 = 200,768/x
  3. Step 3: Cross multiply
    132,559x = 200,768 × 200,768
  4. Step 4: Simplify right side
    132,559x = 40,307,789,824
  5. Step 5: Solve for x
    x = 40,307,789,824/132,559
  6. Step 6: Final answer
    x = 304,074.34

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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.