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Finding the Third Proportional to 201,897 and 303,331

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Solution

The third proportional to 201,897 and 303,331 is: 455,725.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,897 : 303,331 = 303,331 : x
  2. Step 2: Convert to fraction form
    201,897/303,331 = 303,331/x
  3. Step 3: Cross multiply
    201,897x = 303,331 × 303,331
  4. Step 4: Simplify right side
    201,897x = 92,009,695,561
  5. Step 5: Solve for x
    x = 92,009,695,561/201,897
  6. Step 6: Final answer
    x = 455,725.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.