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Finding the Third Proportional to 160,774 and 236,516

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Solution

The third proportional to 160,774 and 236,516 is: 347,940.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,774 : 236,516 = 236,516 : x
  2. Step 2: Convert to fraction form
    160,774/236,516 = 236,516/x
  3. Step 3: Cross multiply
    160,774x = 236,516 × 236,516
  4. Step 4: Simplify right side
    160,774x = 55,939,818,256
  5. Step 5: Solve for x
    x = 55,939,818,256/160,774
  6. Step 6: Final answer
    x = 347,940.70

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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.