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Finding the Third Proportional to 158,126.50 and 338,852

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Solution

The third proportional to 158,126.50 and 338,852 is: 726,131.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,126.50 : 338,852 = 338,852 : x
  2. Step 2: Convert to fraction form
    158,126.50/338,852 = 338,852/x
  3. Step 3: Cross multiply
    158,126.50x = 338,852 × 338,852
  4. Step 4: Simplify right side
    158,126.50x = 114,820,677,904
  5. Step 5: Solve for x
    x = 114,820,677,904/158,126.50
  6. Step 6: Final answer
    x = 726,131.79

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.