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Finding the Third Proportional to 71,456 and 153,280

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Solution

The third proportional to 71,456 and 153,280 is: 328,800.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,456 : 153,280 = 153,280 : x
  2. Step 2: Convert to fraction form
    71,456/153,280 = 153,280/x
  3. Step 3: Cross multiply
    71,456x = 153,280 × 153,280
  4. Step 4: Simplify right side
    71,456x = 23,494,758,400
  5. Step 5: Solve for x
    x = 23,494,758,400/71,456
  6. Step 6: Final answer
    x = 328,800.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.