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Finding the Third Proportional to 155,976 and 230,508

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Solution

The third proportional to 155,976 and 230,508 is: 340,654.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,976 : 230,508 = 230,508 : x
  2. Step 2: Convert to fraction form
    155,976/230,508 = 230,508/x
  3. Step 3: Cross multiply
    155,976x = 230,508 × 230,508
  4. Step 4: Simplify right side
    155,976x = 53,133,938,064
  5. Step 5: Solve for x
    x = 53,133,938,064/155,976
  6. Step 6: Final answer
    x = 340,654.58

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.