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Finding the Third Proportional to 202,209 and 437,581

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Solution

The third proportional to 202,209 and 437,581 is: 946,926.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,209 : 437,581 = 437,581 : x
  2. Step 2: Convert to fraction form
    202,209/437,581 = 437,581/x
  3. Step 3: Cross multiply
    202,209x = 437,581 × 437,581
  4. Step 4: Simplify right side
    202,209x = 191,477,131,561
  5. Step 5: Solve for x
    x = 191,477,131,561/202,209
  6. Step 6: Final answer
    x = 946,926.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.