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Finding the Third Proportional to 201,816 and 288,063

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Solution

The third proportional to 201,816 and 288,063 is: 411,168.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,816 : 288,063 = 288,063 : x
  2. Step 2: Convert to fraction form
    201,816/288,063 = 288,063/x
  3. Step 3: Cross multiply
    201,816x = 288,063 × 288,063
  4. Step 4: Simplify right side
    201,816x = 82,980,291,969
  5. Step 5: Solve for x
    x = 82,980,291,969/201,816
  6. Step 6: Final answer
    x = 411,168.05

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.