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Finding the Third Proportional to 186,931.69 and 405,412.88

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Solution

The third proportional to 186,931.69 and 405,412.88 is: 879,249.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,931.69 : 405,412.88 = 405,412.88 : x
  2. Step 2: Convert to fraction form
    186,931.69/405,412.88 = 405,412.88/x
  3. Step 3: Cross multiply
    186,931.69x = 405,412.88 × 405,412.88
  4. Step 4: Simplify right side
    186,931.69x = 164,359,599,215.77
  5. Step 5: Solve for x
    x = 164,359,599,215.77/186,931.69
  6. Step 6: Final answer
    x = 879,249.53

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