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Finding the Third Proportional to 152,808 and 340,608

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Solution

The third proportional to 152,808 and 340,608 is: 759,212.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,808 : 340,608 = 340,608 : x
  2. Step 2: Convert to fraction form
    152,808/340,608 = 340,608/x
  3. Step 3: Cross multiply
    152,808x = 340,608 × 340,608
  4. Step 4: Simplify right side
    152,808x = 116,013,809,664
  5. Step 5: Solve for x
    x = 116,013,809,664/152,808
  6. Step 6: Final answer
    x = 759,212.93

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.