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Finding the Third Proportional to 186,931.69 and 407,697.75

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Solution

The third proportional to 186,931.69 and 407,697.75 is: 889,188.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,931.69 : 407,697.75 = 407,697.75 : x
  2. Step 2: Convert to fraction form
    186,931.69/407,697.75 = 407,697.75/x
  3. Step 3: Cross multiply
    186,931.69x = 407,697.75 × 407,697.75
  4. Step 4: Simplify right side
    186,931.69x = 166,217,455,355.06
  5. Step 5: Solve for x
    x = 166,217,455,355.06/186,931.69
  6. Step 6: Final answer
    x = 889,188.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.