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Finding the Third Proportional to 186,160 and 401,842

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Solution

The third proportional to 186,160 and 401,842 is: 867,409.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,160 : 401,842 = 401,842 : x
  2. Step 2: Convert to fraction form
    186,160/401,842 = 401,842/x
  3. Step 3: Cross multiply
    186,160x = 401,842 × 401,842
  4. Step 4: Simplify right side
    186,160x = 161,476,992,964
  5. Step 5: Solve for x
    x = 161,476,992,964/186,160
  6. Step 6: Final answer
    x = 867,409.72

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.