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Finding the Third Proportional to 175,108 and 365,280

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Solution

The third proportional to 175,108 and 365,280 is: 761,983.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,108 : 365,280 = 365,280 : x
  2. Step 2: Convert to fraction form
    175,108/365,280 = 365,280/x
  3. Step 3: Cross multiply
    175,108x = 365,280 × 365,280
  4. Step 4: Simplify right side
    175,108x = 133,429,478,400
  5. Step 5: Solve for x
    x = 133,429,478,400/175,108
  6. Step 6: Final answer
    x = 761,983.91

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.