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Finding the Third Proportional to 132,201 and 257,760

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Solution

The third proportional to 132,201 and 257,760 is: 502,569.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,201 : 257,760 = 257,760 : x
  2. Step 2: Convert to fraction form
    132,201/257,760 = 257,760/x
  3. Step 3: Cross multiply
    132,201x = 257,760 × 257,760
  4. Step 4: Simplify right side
    132,201x = 66,440,217,600
  5. Step 5: Solve for x
    x = 66,440,217,600/132,201
  6. Step 6: Final answer
    x = 502,569.71

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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.