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Finding the Third Proportional to 187,041 and 398,513

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Solution

The third proportional to 187,041 and 398,513 is: 849,079.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,041 : 398,513 = 398,513 : x
  2. Step 2: Convert to fraction form
    187,041/398,513 = 398,513/x
  3. Step 3: Cross multiply
    187,041x = 398,513 × 398,513
  4. Step 4: Simplify right side
    187,041x = 158,812,611,169
  5. Step 5: Solve for x
    x = 158,812,611,169/187,041
  6. Step 6: Final answer
    x = 849,079.14

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.