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Finding the Third Proportional to 149,553 and 229,872

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Solution

The third proportional to 149,553 and 229,872 is: 353,327.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,553 : 229,872 = 229,872 : x
  2. Step 2: Convert to fraction form
    149,553/229,872 = 229,872/x
  3. Step 3: Cross multiply
    149,553x = 229,872 × 229,872
  4. Step 4: Simplify right side
    149,553x = 52,841,136,384
  5. Step 5: Solve for x
    x = 52,841,136,384/149,553
  6. Step 6: Final answer
    x = 353,327.16

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.