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Finding the Third Proportional to 160,807 and 236,392

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Solution

The third proportional to 160,807 and 236,392 is: 347,504.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,807 : 236,392 = 236,392 : x
  2. Step 2: Convert to fraction form
    160,807/236,392 = 236,392/x
  3. Step 3: Cross multiply
    160,807x = 236,392 × 236,392
  4. Step 4: Simplify right side
    160,807x = 55,881,177,664
  5. Step 5: Solve for x
    x = 55,881,177,664/160,807
  6. Step 6: Final answer
    x = 347,504.63

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.