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Finding the Third Proportional to 201,184.50 and 411,595.13

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Solution

The third proportional to 201,184.50 and 411,595.13 is: 842,065.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,184.50 : 411,595.13 = 411,595.13 : x
  2. Step 2: Convert to fraction form
    201,184.50/411,595.13 = 411,595.13/x
  3. Step 3: Cross multiply
    201,184.50x = 411,595.13 × 411,595.13
  4. Step 4: Simplify right side
    201,184.50x = 169,410,546,923.77
  5. Step 5: Solve for x
    x = 169,410,546,923.77/201,184.50
  6. Step 6: Final answer
    x = 842,065.60

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.