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Finding the Third Proportional to 187,106 and 413,604

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Solution

The third proportional to 187,106 and 413,604 is: 914,285.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,106 : 413,604 = 413,604 : x
  2. Step 2: Convert to fraction form
    187,106/413,604 = 413,604/x
  3. Step 3: Cross multiply
    187,106x = 413,604 × 413,604
  4. Step 4: Simplify right side
    187,106x = 171,068,268,816
  5. Step 5: Solve for x
    x = 171,068,268,816/187,106
  6. Step 6: Final answer
    x = 914,285.32

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.