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Finding the Third Proportional to 70,380 and 153,384

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Solution

The third proportional to 70,380 and 153,384 is: 334,280.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,380 : 153,384 = 153,384 : x
  2. Step 2: Convert to fraction form
    70,380/153,384 = 153,384/x
  3. Step 3: Cross multiply
    70,380x = 153,384 × 153,384
  4. Step 4: Simplify right side
    70,380x = 23,526,651,456
  5. Step 5: Solve for x
    x = 23,526,651,456/70,380
  6. Step 6: Final answer
    x = 334,280.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.