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Finding the Third Proportional to 158,412 and 230,484

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Solution

The third proportional to 158,412 and 230,484 is: 335,346.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,412 : 230,484 = 230,484 : x
  2. Step 2: Convert to fraction form
    158,412/230,484 = 230,484/x
  3. Step 3: Cross multiply
    158,412x = 230,484 × 230,484
  4. Step 4: Simplify right side
    158,412x = 53,122,874,256
  5. Step 5: Solve for x
    x = 53,122,874,256/158,412
  6. Step 6: Final answer
    x = 335,346.28

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.