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Finding the Third Proportional to 132,415 and 271,806

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Solution

The third proportional to 132,415 and 271,806 is: 557,931.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,415 : 271,806 = 271,806 : x
  2. Step 2: Convert to fraction form
    132,415/271,806 = 271,806/x
  3. Step 3: Cross multiply
    132,415x = 271,806 × 271,806
  4. Step 4: Simplify right side
    132,415x = 73,878,501,636
  5. Step 5: Solve for x
    x = 73,878,501,636/132,415
  6. Step 6: Final answer
    x = 557,931.52

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.