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Finding the Third Proportional to 118,254 and 273,481

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Solution

The third proportional to 118,254 and 273,481 is: 632,467.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,254 : 273,481 = 273,481 : x
  2. Step 2: Convert to fraction form
    118,254/273,481 = 273,481/x
  3. Step 3: Cross multiply
    118,254x = 273,481 × 273,481
  4. Step 4: Simplify right side
    118,254x = 74,791,857,361
  5. Step 5: Solve for x
    x = 74,791,857,361/118,254
  6. Step 6: Final answer
    x = 632,467.89

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.