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Finding the Third Proportional to 160,830 and 236,567

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Solution

The third proportional to 160,830 and 236,567 is: 347,969.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,830 : 236,567 = 236,567 : x
  2. Step 2: Convert to fraction form
    160,830/236,567 = 236,567/x
  3. Step 3: Cross multiply
    160,830x = 236,567 × 236,567
  4. Step 4: Simplify right side
    160,830x = 55,963,945,489
  5. Step 5: Solve for x
    x = 55,963,945,489/160,830
  6. Step 6: Final answer
    x = 347,969.57

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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.