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Finding the Third Proportional to 206,148 and 447,545

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Solution

The third proportional to 206,148 and 447,545 is: 971,615.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,148 : 447,545 = 447,545 : x
  2. Step 2: Convert to fraction form
    206,148/447,545 = 447,545/x
  3. Step 3: Cross multiply
    206,148x = 447,545 × 447,545
  4. Step 4: Simplify right side
    206,148x = 200,296,527,025
  5. Step 5: Solve for x
    x = 200,296,527,025/206,148
  6. Step 6: Final answer
    x = 971,615.18

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Why These Related Problems?

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