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Finding the Third Proportional to 182,735 and 281,237

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Solution

The third proportional to 182,735 and 281,237 is: 432,835.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,735 : 281,237 = 281,237 : x
  2. Step 2: Convert to fraction form
    182,735/281,237 = 281,237/x
  3. Step 3: Cross multiply
    182,735x = 281,237 × 281,237
  4. Step 4: Simplify right side
    182,735x = 79,094,250,169
  5. Step 5: Solve for x
    x = 79,094,250,169/182,735
  6. Step 6: Final answer
    x = 432,835.80

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.