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Finding the Third Proportional to 155,934 and 237,180

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Solution

The third proportional to 155,934 and 237,180 is: 360,757.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,934 : 237,180 = 237,180 : x
  2. Step 2: Convert to fraction form
    155,934/237,180 = 237,180/x
  3. Step 3: Cross multiply
    155,934x = 237,180 × 237,180
  4. Step 4: Simplify right side
    155,934x = 56,254,352,400
  5. Step 5: Solve for x
    x = 56,254,352,400/155,934
  6. Step 6: Final answer
    x = 360,757.45

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.