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Finding the Third Proportional to 133,701 and 291,392

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Solution

The third proportional to 133,701 and 291,392 is: 635,068.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,701 : 291,392 = 291,392 : x
  2. Step 2: Convert to fraction form
    133,701/291,392 = 291,392/x
  3. Step 3: Cross multiply
    133,701x = 291,392 × 291,392
  4. Step 4: Simplify right side
    133,701x = 84,909,297,664
  5. Step 5: Solve for x
    x = 84,909,297,664/133,701
  6. Step 6: Final answer
    x = 635,068.53

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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.