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Finding the Third Proportional to 147,640 and 346,608

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Solution

The third proportional to 147,640 and 346,608 is: 813,716.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,640 : 346,608 = 346,608 : x
  2. Step 2: Convert to fraction form
    147,640/346,608 = 346,608/x
  3. Step 3: Cross multiply
    147,640x = 346,608 × 346,608
  4. Step 4: Simplify right side
    147,640x = 120,137,105,664
  5. Step 5: Solve for x
    x = 120,137,105,664/147,640
  6. Step 6: Final answer
    x = 813,716.51

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.