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Finding the Third Proportional to 132,208 and 257,774

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Solution

The third proportional to 132,208 and 257,774 is: 502,597.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,208 : 257,774 = 257,774 : x
  2. Step 2: Convert to fraction form
    132,208/257,774 = 257,774/x
  3. Step 3: Cross multiply
    132,208x = 257,774 × 257,774
  4. Step 4: Simplify right side
    132,208x = 66,447,435,076
  5. Step 5: Solve for x
    x = 66,447,435,076/132,208
  6. Step 6: Final answer
    x = 502,597.69

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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.