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Finding the Third Proportional to 238,546 and 356,595

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Solution

The third proportional to 238,546 and 356,595 is: 533,062.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,546 : 356,595 = 356,595 : x
  2. Step 2: Convert to fraction form
    238,546/356,595 = 356,595/x
  3. Step 3: Cross multiply
    238,546x = 356,595 × 356,595
  4. Step 4: Simplify right side
    238,546x = 127,159,994,025
  5. Step 5: Solve for x
    x = 127,159,994,025/238,546
  6. Step 6: Final answer
    x = 533,062.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.