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Finding the Third Proportional to 133,858 and 291,036

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Solution

The third proportional to 133,858 and 291,036 is: 632,774.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,858 : 291,036 = 291,036 : x
  2. Step 2: Convert to fraction form
    133,858/291,036 = 291,036/x
  3. Step 3: Cross multiply
    133,858x = 291,036 × 291,036
  4. Step 4: Simplify right side
    133,858x = 84,701,953,296
  5. Step 5: Solve for x
    x = 84,701,953,296/133,858
  6. Step 6: Final answer
    x = 632,774.68

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Why These Related Problems?

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