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Finding the Third Proportional to 175,324.50 and 380,295

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Solution

The third proportional to 175,324.50 and 380,295 is: 824,894.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,324.50 : 380,295 = 380,295 : x
  2. Step 2: Convert to fraction form
    175,324.50/380,295 = 380,295/x
  3. Step 3: Cross multiply
    175,324.50x = 380,295 × 380,295
  4. Step 4: Simplify right side
    175,324.50x = 144,624,287,025
  5. Step 5: Solve for x
    x = 144,624,287,025/175,324.50
  6. Step 6: Final answer
    x = 824,894.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.