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Finding the Third Proportional to 186,933 and 405,417

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Solution

The third proportional to 186,933 and 405,417 is: 879,261.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,933 : 405,417 = 405,417 : x
  2. Step 2: Convert to fraction form
    186,933/405,417 = 405,417/x
  3. Step 3: Cross multiply
    186,933x = 405,417 × 405,417
  4. Step 4: Simplify right side
    186,933x = 164,362,943,889
  5. Step 5: Solve for x
    x = 164,362,943,889/186,933
  6. Step 6: Final answer
    x = 879,261.25

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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.