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Finding the Third Proportional to 187,208 and 410,704

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Solution

The third proportional to 187,208 and 410,704 is: 901,017.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,208 : 410,704 = 410,704 : x
  2. Step 2: Convert to fraction form
    187,208/410,704 = 410,704/x
  3. Step 3: Cross multiply
    187,208x = 410,704 × 410,704
  4. Step 4: Simplify right side
    187,208x = 168,677,775,616
  5. Step 5: Solve for x
    x = 168,677,775,616/187,208
  6. Step 6: Final answer
    x = 901,017.99

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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.