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Finding the Third Proportional to 156,537 and 236,257

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Solution

The third proportional to 156,537 and 236,257 is: 356,576.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,537 : 236,257 = 236,257 : x
  2. Step 2: Convert to fraction form
    156,537/236,257 = 236,257/x
  3. Step 3: Cross multiply
    156,537x = 236,257 × 236,257
  4. Step 4: Simplify right side
    156,537x = 55,817,370,049
  5. Step 5: Solve for x
    x = 55,817,370,049/156,537
  6. Step 6: Final answer
    x = 356,576.21

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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.