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Finding the Third Proportional to 156,803 and 236,664

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Solution

The third proportional to 156,803 and 236,664 is: 357,198.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,803 : 236,664 = 236,664 : x
  2. Step 2: Convert to fraction form
    156,803/236,664 = 236,664/x
  3. Step 3: Cross multiply
    156,803x = 236,664 × 236,664
  4. Step 4: Simplify right side
    156,803x = 56,009,848,896
  5. Step 5: Solve for x
    x = 56,009,848,896/156,803
  6. Step 6: Final answer
    x = 357,198.83

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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.