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Finding the Third Proportional to 186,240.94 and 414,639

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Solution

The third proportional to 186,240.94 and 414,639 is: 923,134.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,240.94 : 414,639 = 414,639 : x
  2. Step 2: Convert to fraction form
    186,240.94/414,639 = 414,639/x
  3. Step 3: Cross multiply
    186,240.94x = 414,639 × 414,639
  4. Step 4: Simplify right side
    186,240.94x = 171,925,500,321
  5. Step 5: Solve for x
    x = 171,925,500,321/186,240.94
  6. Step 6: Final answer
    x = 923,134.85

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.