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Finding the Third Proportional to 178,476 and 237,942

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Solution

The third proportional to 178,476 and 237,942 is: 317,221.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,476 : 237,942 = 237,942 : x
  2. Step 2: Convert to fraction form
    178,476/237,942 = 237,942/x
  3. Step 3: Cross multiply
    178,476x = 237,942 × 237,942
  4. Step 4: Simplify right side
    178,476x = 56,616,395,364
  5. Step 5: Solve for x
    x = 56,616,395,364/178,476
  6. Step 6: Final answer
    x = 317,221.34

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.