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Finding the Third Proportional to 206,875.69 and 446,409.14

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Solution

The third proportional to 206,875.69 and 446,409.14 is: 963,289.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,875.69 : 446,409.14 = 446,409.14 : x
  2. Step 2: Convert to fraction form
    206,875.69/446,409.14 = 446,409.14/x
  3. Step 3: Cross multiply
    206,875.69x = 446,409.14 × 446,409.14
  4. Step 4: Simplify right side
    206,875.69x = 199,281,120,833.55
  5. Step 5: Solve for x
    x = 199,281,120,833.55/206,875.69
  6. Step 6: Final answer
    x = 963,289.23

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Why These Related Problems?

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