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Finding the Third Proportional to 172,048.50 and 400,011.75

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Solution

The third proportional to 172,048.50 and 400,011.75 is: 930,024.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,048.50 : 400,011.75 = 400,011.75 : x
  2. Step 2: Convert to fraction form
    172,048.50/400,011.75 = 400,011.75/x
  3. Step 3: Cross multiply
    172,048.50x = 400,011.75 × 400,011.75
  4. Step 4: Simplify right side
    172,048.50x = 160,009,400,138.06
  5. Step 5: Solve for x
    x = 160,009,400,138.06/172,048.50
  6. Step 6: Final answer
    x = 930,024.96

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.