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Finding the Third Proportional to 178,005 and 237,780

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Solution

The third proportional to 178,005 and 237,780 is: 317,627.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,005 : 237,780 = 237,780 : x
  2. Step 2: Convert to fraction form
    178,005/237,780 = 237,780/x
  3. Step 3: Cross multiply
    178,005x = 237,780 × 237,780
  4. Step 4: Simplify right side
    178,005x = 56,539,328,400
  5. Step 5: Solve for x
    x = 56,539,328,400/178,005
  6. Step 6: Final answer
    x = 317,627.75

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.