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Finding the Third Proportional to 206,149 and 447,547

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Solution

The third proportional to 206,149 and 447,547 is: 971,619.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,149 : 447,547 = 447,547 : x
  2. Step 2: Convert to fraction form
    206,149/447,547 = 447,547/x
  3. Step 3: Cross multiply
    206,149x = 447,547 × 447,547
  4. Step 4: Simplify right side
    206,149x = 200,298,317,209
  5. Step 5: Solve for x
    x = 200,298,317,209/206,149
  6. Step 6: Final answer
    x = 971,619.16

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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.