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Finding the Third Proportional to 186,162.47 and 401,849.86

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Solution

The third proportional to 186,162.47 and 401,849.86 is: 867,432.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,162.47 : 401,849.86 = 401,849.86 : x
  2. Step 2: Convert to fraction form
    186,162.47/401,849.86 = 401,849.86/x
  3. Step 3: Cross multiply
    186,162.47x = 401,849.86 × 401,849.86
  4. Step 4: Simplify right side
    186,162.47x = 161,483,309,479.71
  5. Step 5: Solve for x
    x = 161,483,309,479.71/186,162.47
  6. Step 6: Final answer
    x = 867,432.14

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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.