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Finding the Third Proportional to 187,024.50 and 400,846.50

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Solution

The third proportional to 187,024.50 and 400,846.50 is: 859,127.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,024.50 : 400,846.50 = 400,846.50 : x
  2. Step 2: Convert to fraction form
    187,024.50/400,846.50 = 400,846.50/x
  3. Step 3: Cross multiply
    187,024.50x = 400,846.50 × 400,846.50
  4. Step 4: Simplify right side
    187,024.50x = 160,677,916,562.25
  5. Step 5: Solve for x
    x = 160,677,916,562.25/187,024.50
  6. Step 6: Final answer
    x = 859,127.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.