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Finding the Third Proportional to 254,234 and 372,849

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Solution

The third proportional to 254,234 and 372,849 is: 546,804.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,234 : 372,849 = 372,849 : x
  2. Step 2: Convert to fraction form
    254,234/372,849 = 372,849/x
  3. Step 3: Cross multiply
    254,234x = 372,849 × 372,849
  4. Step 4: Simplify right side
    254,234x = 139,016,376,801
  5. Step 5: Solve for x
    x = 139,016,376,801/254,234
  6. Step 6: Final answer
    x = 546,804.82

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.