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Finding the Third Proportional to 152,238.38 and 212,837.63

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Solution

The third proportional to 152,238.38 and 212,837.63 is: 297,558.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,238.38 : 212,837.63 = 212,837.63 : x
  2. Step 2: Convert to fraction form
    152,238.38/212,837.63 = 212,837.63/x
  3. Step 3: Cross multiply
    152,238.38x = 212,837.63 × 212,837.63
  4. Step 4: Simplify right side
    152,238.38x = 45,299,854,615.64
  5. Step 5: Solve for x
    x = 45,299,854,615.64/152,238.38
  6. Step 6: Final answer
    x = 297,558.71

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.