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Finding the Third Proportional to 236,281 and 356,114

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Solution

The third proportional to 236,281 and 356,114 is: 536,721.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,281 : 356,114 = 356,114 : x
  2. Step 2: Convert to fraction form
    236,281/356,114 = 356,114/x
  3. Step 3: Cross multiply
    236,281x = 356,114 × 356,114
  4. Step 4: Simplify right side
    236,281x = 126,817,180,996
  5. Step 5: Solve for x
    x = 126,817,180,996/236,281
  6. Step 6: Final answer
    x = 536,721.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.