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Finding the Third Proportional to 187,530 and 410,664

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Solution

The third proportional to 187,530 and 410,664 is: 899,295.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,530 : 410,664 = 410,664 : x
  2. Step 2: Convert to fraction form
    187,530/410,664 = 410,664/x
  3. Step 3: Cross multiply
    187,530x = 410,664 × 410,664
  4. Step 4: Simplify right side
    187,530x = 168,644,920,896
  5. Step 5: Solve for x
    x = 168,644,920,896/187,530
  6. Step 6: Final answer
    x = 899,295.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.