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Finding the Third Proportional to 133,001 and 291,842

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Solution

The third proportional to 133,001 and 291,842 is: 640,384.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,001 : 291,842 = 291,842 : x
  2. Step 2: Convert to fraction form
    133,001/291,842 = 291,842/x
  3. Step 3: Cross multiply
    133,001x = 291,842 × 291,842
  4. Step 4: Simplify right side
    133,001x = 85,171,752,964
  5. Step 5: Solve for x
    x = 85,171,752,964/133,001
  6. Step 6: Final answer
    x = 640,384.31

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.