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Finding the Third Proportional to 160,936 and 236,476

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Solution

The third proportional to 160,936 and 236,476 is: 347,472.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,936 : 236,476 = 236,476 : x
  2. Step 2: Convert to fraction form
    160,936/236,476 = 236,476/x
  3. Step 3: Cross multiply
    160,936x = 236,476 × 236,476
  4. Step 4: Simplify right side
    160,936x = 55,920,898,576
  5. Step 5: Solve for x
    x = 55,920,898,576/160,936
  6. Step 6: Final answer
    x = 347,472.90

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.