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Finding the Third Proportional to 112,372 and 247,343

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Solution

The third proportional to 112,372 and 247,343 is: 544,428.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,372 : 247,343 = 247,343 : x
  2. Step 2: Convert to fraction form
    112,372/247,343 = 247,343/x
  3. Step 3: Cross multiply
    112,372x = 247,343 × 247,343
  4. Step 4: Simplify right side
    112,372x = 61,178,559,649
  5. Step 5: Solve for x
    x = 61,178,559,649/112,372
  6. Step 6: Final answer
    x = 544,428.86

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.