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Finding the Third Proportional to 92,297 and 201,271

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Solution

The third proportional to 92,297 and 201,271 is: 438,909.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,297 : 201,271 = 201,271 : x
  2. Step 2: Convert to fraction form
    92,297/201,271 = 201,271/x
  3. Step 3: Cross multiply
    92,297x = 201,271 × 201,271
  4. Step 4: Simplify right side
    92,297x = 40,510,015,441
  5. Step 5: Solve for x
    x = 40,510,015,441/92,297
  6. Step 6: Final answer
    x = 438,909.34

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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.