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Finding the Third Proportional to 201,205.50 and 437,358

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Solution

The third proportional to 201,205.50 and 437,358 is: 950,679.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,205.50 : 437,358 = 437,358 : x
  2. Step 2: Convert to fraction form
    201,205.50/437,358 = 437,358/x
  3. Step 3: Cross multiply
    201,205.50x = 437,358 × 437,358
  4. Step 4: Simplify right side
    201,205.50x = 191,282,020,164
  5. Step 5: Solve for x
    x = 191,282,020,164/201,205.50
  6. Step 6: Final answer
    x = 950,679.88

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.