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Finding the Third Proportional to 210,405.50 and 433,197

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Solution

The third proportional to 210,405.50 and 433,197 is: 891,895.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,405.50 : 433,197 = 433,197 : x
  2. Step 2: Convert to fraction form
    210,405.50/433,197 = 433,197/x
  3. Step 3: Cross multiply
    210,405.50x = 433,197 × 433,197
  4. Step 4: Simplify right side
    210,405.50x = 187,659,640,809
  5. Step 5: Solve for x
    x = 187,659,640,809/210,405.50
  6. Step 6: Final answer
    x = 891,895.13

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.