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Finding the Third Proportional to 206,145.50 and 447,541

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Solution

The third proportional to 206,145.50 and 447,541 is: 971,609.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,145.50 : 447,541 = 447,541 : x
  2. Step 2: Convert to fraction form
    206,145.50/447,541 = 447,541/x
  3. Step 3: Cross multiply
    206,145.50x = 447,541 × 447,541
  4. Step 4: Simplify right side
    206,145.50x = 200,292,946,681
  5. Step 5: Solve for x
    x = 200,292,946,681/206,145.50
  6. Step 6: Final answer
    x = 971,609.60

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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.