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Finding the Third Proportional to 187,610 and 410,252

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Solution

The third proportional to 187,610 and 410,252 is: 897,109.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,610 : 410,252 = 410,252 : x
  2. Step 2: Convert to fraction form
    187,610/410,252 = 410,252/x
  3. Step 3: Cross multiply
    187,610x = 410,252 × 410,252
  4. Step 4: Simplify right side
    187,610x = 168,306,703,504
  5. Step 5: Solve for x
    x = 168,306,703,504/187,610
  6. Step 6: Final answer
    x = 897,109.45

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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.