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Finding the Third Proportional to 158,019 and 344,442

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Solution

The third proportional to 158,019 and 344,442 is: 750,797.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,019 : 344,442 = 344,442 : x
  2. Step 2: Convert to fraction form
    158,019/344,442 = 344,442/x
  3. Step 3: Cross multiply
    158,019x = 344,442 × 344,442
  4. Step 4: Simplify right side
    158,019x = 118,640,291,364
  5. Step 5: Solve for x
    x = 118,640,291,364/158,019
  6. Step 6: Final answer
    x = 750,797.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.