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Finding the Third Proportional to 188,025 and 291,281

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Solution

The third proportional to 188,025 and 291,281 is: 451,241.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,025 : 291,281 = 291,281 : x
  2. Step 2: Convert to fraction form
    188,025/291,281 = 291,281/x
  3. Step 3: Cross multiply
    188,025x = 291,281 × 291,281
  4. Step 4: Simplify right side
    188,025x = 84,844,620,961
  5. Step 5: Solve for x
    x = 84,844,620,961/188,025
  6. Step 6: Final answer
    x = 451,241.17

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.