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Finding the Third Proportional to 132,206 and 257,768

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Solution

The third proportional to 132,206 and 257,768 is: 502,581.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,206 : 257,768 = 257,768 : x
  2. Step 2: Convert to fraction form
    132,206/257,768 = 257,768/x
  3. Step 3: Cross multiply
    132,206x = 257,768 × 257,768
  4. Step 4: Simplify right side
    132,206x = 66,444,341,824
  5. Step 5: Solve for x
    x = 66,444,341,824/132,206
  6. Step 6: Final answer
    x = 502,581.89

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.