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Finding the Third Proportional to 155,983 and 241,967

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Solution

The third proportional to 155,983 and 241,967 is: 375,348.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,983 : 241,967 = 241,967 : x
  2. Step 2: Convert to fraction form
    155,983/241,967 = 241,967/x
  3. Step 3: Cross multiply
    155,983x = 241,967 × 241,967
  4. Step 4: Simplify right side
    155,983x = 58,548,029,089
  5. Step 5: Solve for x
    x = 58,548,029,089/155,983
  6. Step 6: Final answer
    x = 375,348.78

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.