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Finding the Third Proportional to 187,219 and 410,074

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Solution

The third proportional to 187,219 and 410,074 is: 898,203.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,219 : 410,074 = 410,074 : x
  2. Step 2: Convert to fraction form
    187,219/410,074 = 410,074/x
  3. Step 3: Cross multiply
    187,219x = 410,074 × 410,074
  4. Step 4: Simplify right side
    187,219x = 168,160,685,476
  5. Step 5: Solve for x
    x = 168,160,685,476/187,219
  6. Step 6: Final answer
    x = 898,203.10

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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.