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Finding the Third Proportional to 182,272 and 273,403

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Solution

The third proportional to 182,272 and 273,403 is: 410,097.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,272 : 273,403 = 273,403 : x
  2. Step 2: Convert to fraction form
    182,272/273,403 = 273,403/x
  3. Step 3: Cross multiply
    182,272x = 273,403 × 273,403
  4. Step 4: Simplify right side
    182,272x = 74,749,200,409
  5. Step 5: Solve for x
    x = 74,749,200,409/182,272
  6. Step 6: Final answer
    x = 410,097.00

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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.