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Finding the Third Proportional to 158,642 and 229,208

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Solution

The third proportional to 158,642 and 229,208 is: 331,162.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,642 : 229,208 = 229,208 : x
  2. Step 2: Convert to fraction form
    158,642/229,208 = 229,208/x
  3. Step 3: Cross multiply
    158,642x = 229,208 × 229,208
  4. Step 4: Simplify right side
    158,642x = 52,536,307,264
  5. Step 5: Solve for x
    x = 52,536,307,264/158,642
  6. Step 6: Final answer
    x = 331,162.66

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.