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Finding the Third Proportional to 186,813 and 412,875

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Solution

The third proportional to 186,813 and 412,875 is: 912,494.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,813 : 412,875 = 412,875 : x
  2. Step 2: Convert to fraction form
    186,813/412,875 = 412,875/x
  3. Step 3: Cross multiply
    186,813x = 412,875 × 412,875
  4. Step 4: Simplify right side
    186,813x = 170,465,765,625
  5. Step 5: Solve for x
    x = 170,465,765,625/186,813
  6. Step 6: Final answer
    x = 912,494.13

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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.