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Finding the Third Proportional to 182,462.63 and 273,420.56

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Solution

The third proportional to 182,462.63 and 273,420.56 is: 409,721.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,462.63 : 273,420.56 = 273,420.56 : x
  2. Step 2: Convert to fraction form
    182,462.63/273,420.56 = 273,420.56/x
  3. Step 3: Cross multiply
    182,462.63x = 273,420.56 × 273,420.56
  4. Step 4: Simplify right side
    182,462.63x = 74,758,803,997.82
  5. Step 5: Solve for x
    x = 74,758,803,997.82/182,462.63
  6. Step 6: Final answer
    x = 409,721.19

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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.