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Finding the Third Proportional to 158,608 and 344,864

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Solution

The third proportional to 158,608 and 344,864 is: 749,843.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,608 : 344,864 = 344,864 : x
  2. Step 2: Convert to fraction form
    158,608/344,864 = 344,864/x
  3. Step 3: Cross multiply
    158,608x = 344,864 × 344,864
  4. Step 4: Simplify right side
    158,608x = 118,931,178,496
  5. Step 5: Solve for x
    x = 118,931,178,496/158,608
  6. Step 6: Final answer
    x = 749,843.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.