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Finding the Third Proportional to 238,420.13 and 357,633.56

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Solution

The third proportional to 238,420.13 and 357,633.56 is: 536,455.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,420.13 : 357,633.56 = 357,633.56 : x
  2. Step 2: Convert to fraction form
    238,420.13/357,633.56 = 357,633.56/x
  3. Step 3: Cross multiply
    238,420.13x = 357,633.56 × 357,633.56
  4. Step 4: Simplify right side
    238,420.13x = 127,901,765,026.44
  5. Step 5: Solve for x
    x = 127,901,765,026.44/238,420.13
  6. Step 6: Final answer
    x = 536,455.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.