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Finding the Third Proportional to 186,964 and 405,641

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Solution

The third proportional to 186,964 and 405,641 is: 880,087.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,964 : 405,641 = 405,641 : x
  2. Step 2: Convert to fraction form
    186,964/405,641 = 405,641/x
  3. Step 3: Cross multiply
    186,964x = 405,641 × 405,641
  4. Step 4: Simplify right side
    186,964x = 164,544,620,881
  5. Step 5: Solve for x
    x = 164,544,620,881/186,964
  6. Step 6: Final answer
    x = 880,087.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.