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Finding the Third Proportional to 156,731 and 236,237

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Solution

The third proportional to 156,731 and 236,237 is: 356,074.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,731 : 236,237 = 236,237 : x
  2. Step 2: Convert to fraction form
    156,731/236,237 = 236,237/x
  3. Step 3: Cross multiply
    156,731x = 236,237 × 236,237
  4. Step 4: Simplify right side
    156,731x = 55,807,920,169
  5. Step 5: Solve for x
    x = 55,807,920,169/156,731
  6. Step 6: Final answer
    x = 356,074.55

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