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Finding the Third Proportional to 202,207.50 and 440,271

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Solution

The third proportional to 202,207.50 and 440,271 is: 958,612.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,207.50 : 440,271 = 440,271 : x
  2. Step 2: Convert to fraction form
    202,207.50/440,271 = 440,271/x
  3. Step 3: Cross multiply
    202,207.50x = 440,271 × 440,271
  4. Step 4: Simplify right side
    202,207.50x = 193,838,553,441
  5. Step 5: Solve for x
    x = 193,838,553,441/202,207.50
  6. Step 6: Final answer
    x = 958,612.09

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.