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Finding the Third Proportional to 187,068 and 409,884

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Solution

The third proportional to 187,068 and 409,884 is: 898,095.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,068 : 409,884 = 409,884 : x
  2. Step 2: Convert to fraction form
    187,068/409,884 = 409,884/x
  3. Step 3: Cross multiply
    187,068x = 409,884 × 409,884
  4. Step 4: Simplify right side
    187,068x = 168,004,893,456
  5. Step 5: Solve for x
    x = 168,004,893,456/187,068
  6. Step 6: Final answer
    x = 898,095.31

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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.