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Finding the Third Proportional to 175,056.50 and 356,531

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Solution

The third proportional to 175,056.50 and 356,531 is: 726,133.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,056.50 : 356,531 = 356,531 : x
  2. Step 2: Convert to fraction form
    175,056.50/356,531 = 356,531/x
  3. Step 3: Cross multiply
    175,056.50x = 356,531 × 356,531
  4. Step 4: Simplify right side
    175,056.50x = 127,114,353,961
  5. Step 5: Solve for x
    x = 127,114,353,961/175,056.50
  6. Step 6: Final answer
    x = 726,133.30

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.